Home  - Pure_And_Applied_Math - Lie Algebra

Books Baby Camera Phones Computers Games DVD Electronics Kitchen Magazines Music Garden Software Tools Toys Video Apparel & Accessories Jewelry & Watches Musical Instruments Health & Personal Care Beauty Sports & Outdoors Office Products

e99.com Bookstore

Images

Newsgroups

21-40 of 56    Back | 1  | 2  | 3  | Next 20

Lie Algebra:     more books (100)

Lie Algebras and Lie Groups: 1964 Lectures given at Harvard University (Lecture Notes in Mathematics) by Jean-Pierre Serre, 1992-03-11 Lie Algebras In Particle Physics: from Isospin To Unified Theories (Frontiers in Physics) (Volume 0) by Howard Georgi, 1999-10-22 An Introduction to Lie Groups and Lie Algebras (Cambridge Studies in Advanced Mathematics) by Alexander Kirillov Jr, 2008-09-01 Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory (Cambridge Monographs on Mathematical Physics) by Jürgen A. Fuchs, 1995-05-26 Lie Algebras and Algebraic Groups (Springer Monographs in Mathematics) by Patrice Tauvel, Rupert W. T. Yu, 2010-11-30 Dictionary on Lie Algebras and Superalgebras by Luc Frappat, Antonino Sciarrino, et all 2000-06-28 Lie Groups: Beyond an Introduction by Anthony W. Knapp, 2002-08-21 Naive Lie Theory (Undergraduate Texts in Mathematics) by John Stillwell, 2008-07-24 Automorphic Forms and Lie Superalgebras (Algebra and Applications) by Urmie Ray, 2010-11-02 Lie Groups and Lie Algebras: Chapters 1-3 by Nicolas Bourbaki, 1998-09-18 Lie Groups, Lie Algebras, and Their Representation (Graduate Texts in Mathematics) (v. 102) by V.S. Varadarajan, 1984-05-14 Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics) by Jürgen Fuchs, Christoph Schweigert, 2003-10-09 Lie Algebras and Locally Compact Groups (Chicago Lectures in Mathematics) by Irving Kaplansky, 1995-02-27 Lie algebras and quantum mechanics (Mathematics lecture note series) by Robert Hermann, 0805339434(isbn), 1970

lists with details

21. Lie Algebra: Lie Algebras
    Lie idempotents are symmetrizers which project the tensor algebra onto the free lie algebra. Almost all known examples turn out to belong to the descent  
    http://www.lycos.com/info/lie-algebra--lie-algebras.html
    
    Extractions: Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. The second half introduces the theory of Kac-Moody algebras, concentrating particularly on those of affine type. A brief account of Borcherds algebras is ... included. Source: cambridge.org The representation theory of affine Lie algebras has been developed in close connection with various areas of mathematics and mathematical physics in the last two decades. There are three excellent books on it, written by Victor G Kac. This book begins with a survey and review of the material treated in Kac's books. In particular, modular invariance and conformal invariance are explained in more detail. The book then goes further, dealing with some of the recent topics involving the representation theory of affine Lie algebras. Since these topics are important not only in themselves but ... in their application to some areas of mathematics and mathematical physics, the book expounds them with examples and detailed calculations.

22. [q-alg/9605026] Introduction To Quantum Lie Algebras
    Quantum lie algebras are generalizations of lie algebras whose structure constants are power series in $h$. They are derived from the quantized enveloping  
    http://arxiv.org/abs/q-alg/9605026
    
    Extractions: In this paper the recent general results about quantum Lie algebras are introduced with the help of the explicit example of $(sl_2)_h$. Comments: Contribution to the Proceedings of the Banach Minisemester on Quantum Groups, Warsaw, November 1995. 8 pages amslatex. Files also available at this http URL Subjects: Quantum Algebra (math.QA) Cite as: arXiv:q-alg/9605026v1 From: Gustav W. Delius [ view email

23. Lie Groups, Lie Algebras, And Representations - Group Theory And Generalizat...J
    Lie Groups, lie algebras, and Representations Algebra. Lie groups, lie algebras, and representation theory are the main focus of this text.  
    http://www.springer.com/978-0-387-40122-5
    
    Extractions: Please select Africa Asia Australia / Oceania Europe France Germany Italy North America South America Switzerland United Kingdom All Author/Editor Title ISBN/ISSN Series Journals Series Textbooks Contact Select your subdiscipline Algebra Analysis Applications Mathematical Biology Mathematical Physics Probability Theory Quantitative Finance Select a discipline Astronomy Biomedical Sciences Chemistry Computer Science Economics Education Engineering Environmental Sciences Geography Geosciences Humanities Law Life Sciences Linguistics Materials Mathematics Medicine Philosophy Physics Psychology Public Health Social Sciences Statistics Home Mathematics Algebra An Elementary Introduction

24. CONTINUOUS SYMMETRIES, LIE ALGEBRAS, DIFFERENTIAL EQUATIONS AND COMPUTER ALGEBRA
    CONTINUOUS SYMMETRIES, lie algebraS, DIFFERENTIAL EQUATIONS AND COMPUTER ALGEBRA.  
    http://www.worldscibooks.com/physics/6515.html
    
    Extractions: Chapter 1: Introduction This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as Yang–Mills theory and string theory. Aimed at readers in applied mathematics and physics rather than pure mathematics, the material is ideally suited to students and researchers whose main interest lies in finding solutions to differential equations and invariants of maps. A large number of worked examples and challenging exercises help readers to work independently of teachers, and by including SymbolicC++ implementations of the techniques in each chapter, the book takes full advantage of the advancements in algebraic computation. Twelve new sections have been added in this edition, including: Haar measure, Sato's theory and sigma functions, universal algebra, anti-self dual Yang–Mills equation, and discrete Painlevé equations.

25. Boolean--Lie Algebras
    Using internal negations acting on Boolean functions, the notion of Boolean–lie algebra is introduced. The underlying Lie product is the Boolean analogue of  
    http://www.iop.org/EJ/abstract/0305-4470/39/22/005
    
    Extractions: Biomedical Materials British Journal of Applied Physics (1950-1967) Chinese Journal of Astronomy and Astrophysics Chinese Journal of Chemical Physics Chinese Journal of Chemical Physics (1987-2007) Chinese Physics (2000-2007) Chinese Physics B Chinese Physics Letters Classical and Quantum Gravity Clinical Physics and Physiological Measurement (1980-1992) Communications in Theoretical Physics Distributed Systems Engineering (1993-1999) Environmental Research Letters European Journal of Physics Europhysics Letters (EPL) IOP Conference Series: Earth and Environmental Science

26. Minimal Faithful Representations Of Lie Algebras — Fakultät Fuer Mathema
    Abstract Abstract Ado s theorem says that a finitedimensional lie algebra L has a faithful linear representation of finite degree.  
    http://plone.mat.univie.ac.at/events/2008/minimal-faithful-representations-of-li
    
    Extractions: iCal Dietrich Burde (Universitaet Wien) Abstract: Abstract: Ado's theorem says that a finite-dimensional Lie algebra L has a faithful linear representation of finite degree. The minimal degree m(L) of a faithful representation is an interesting invariant of L, which plays a role in many areas (e.g., the study of fundamental groups of affinely flat manifolds). We want to find, if possible, explicit formulas for m(L). For some classes of Lie algebras, such as abelian, simple, semisimple and reductive, we are able to do this. In other cases, in particular for nilpotent Lie algebras, this seems impossible in general. We even have great difficulties in finding good estimates for m(L). Weitere Informationen ¼ber diesen Termin Workshop organized by Mireille Bousquet-M©lou Michael Drmota Christian Krattenthaler and Bernard Nienhuis ,

27. [0711.4268] Simple Lie Algebras Having Extremal Elements
    Abstract Let L be a simple finitedimensional lie algebra of characteristic distinct from 2 and from 3. Suppose that L contains an extremal element that is  
    http://xxx.arxiv.org/abs/0711.4268
    
    Extractions: math Authors: Arjeh M. Cohen Gabor Ivanyos Dan A. Roozemond (Submitted on 27 Nov 2007 ( ), last revised 4 Dec 2007 (this version, v2)) Abstract: Let L be a simple finite-dimensional Lie algebra of characteristic distinct from 2 and from 3. Suppose that L contains an extremal element that is not a sandwich, that is, an element x such that [x, [x, L]] is equal to the linear span of x in L. In this paper we prove that, with a single exception, L is generated by extremal elements. The result is known, at least for most characteristics, but the proofs in the literature are involved. The current proof closes a gap in a geometric proof that every simple Lie algebra containing no sandwiches (that is, ad-nilpotent elements of order 2) is in fact of classical type. Comments: 11 pages Subjects: Rings and Algebras (math.RA)

28. Lie Algebras Research — Maths And Stats
    I have been especially active in investigating the relationship between the structure of a lie algebra and that of its lattice of subalgebras,  
    http://www.maths.lancs.ac.uk/department/research/mathematics/lie-and-nonassociat
    
    Extractions: Skip to content. Skip to navigation Search Site department of mathematics and statistics faculty of science and technology Sections Personal tools You are here: Home Research Mathematics Lie and Nonassociative Algebras Document Actions by Stephen Power last modified Areas of Research Interest of David Towers. My main research interests lie in the area of algebras, where I have worked on general nonassociative algebras, Lie, Jordan and Genetic algebras. My early work concerned the Frattini subalgebra of a nonassociative algebra. This has proved to be a useful concept for studying how algebras are generated, in yielding certain decomposition theorems, and in gaining information about other subalgebra questions. My best known result from this period asserts that every subspace of a nonassociative algebra, over a field of characteristic zero, which is invariant under all automorphisms of the algebra is also invariant under all derivations of the algebra. (This has been called the Chevalley-Tuck-Towers Theorem). I have been especially active in investigating the relationship between the structure of a Lie algebra and that of its lattice of subalgebras, and in studying certain special subalgebras. A number of interesting classes of Lie algebras have been uncovered by imposing particular conditions upon certain subalgebras; in particular, new simple Lie algebras were found in this way. Of fundamental importance is the extent to which the structure of a Lie algebra is determined by lattice-theoretic properties of its subalgebras. Can important classes of algebras, such as simple, solvable and nilpotent algebras, be characterised by their subalgebra lattice? Apart from low dimensional exceptional cases, the answer is affirmative. The question of the extent to which ideals can be defined by lattice conditions leads to the study of modularity, and here I have made significant progress in collaboration with Varea and Bowman.

29. Non-abelian (co)homology Of Lie Algebras, By Nick Inassaridze, Emzar Khmaladze,
    Nonabelian homology of lie algebras with coefficients in lie algebras is constructed and studied, generalising the classical Chevalley-Eilenberg homology  
    http://www.math.uiuc.edu/K-theory/0614/
    
    Extractions: Non-abelian homology of Lie algebras with coefficients in Lie algebras is constructed and studied, generalising the classical Chevalley-Eilenberg homology of Lie algebras. The relation of cyclic homology with Milnor cyclic homology of non-commutative associative algebras is established in terms of the long exact non-abelian homology sequence of Lie algebras. Some explicit formulas for the second and the third non-abelian homology of Lie algebras are obtained. Using the generalised notion of the Lie algebra of derivations, we introduce the second non-abelian cohomology of Lie algebras with coefficients in crossed modules and extend the seven-term exact non-abelian cohomology sequence of Guin to nine-term exact sequence.

30. Lie Algebras@Everything2.com
    It cannot be stressed enough how ubiquitous lie algebras (specifically their representations) are in theoretical physics. One reason they arise is because  
    http://everything2.com/index.pl?node_id=743664

31. FreeScience -> Semi-Simple Lie Algebras And Their Representations
    Contents SU(2); SU(3); The Killing Form; The Structure of Simple lie algebras; A Little about Representations ; More on the Structure of Simple lie algebra  
    http://freescience.info/go.php?id=1466&pagename=books

32. JLT 17020
    The purpose of this article is to compute centralizers of certain natural Lie subalgebras of the lie algebra obtained from the descending central series of  
    http://www.heldermann.de/JLT/JLT17/JLT172/jlt17020.htm

33. Mathematica-aided Study Of Lie Algebras And Their Cohomology--from Supergravity
    We describe applications of a MATHEMATICAbased package for the study of lie algebras and their cohomology such as (1) the possibility to write Supergravity  
    http://library.wolfram.com/infocenter/Articles/899/

34. D-MATH - Lie Algebra Cohomology And Index Theory
    In particular they constructed a distinguished class in the cohomology of the lie algebra of polynomial vector fields mapping via formal differential  
    http://www.math.ethz.ch/u/felder/Teaching/WS20062007/Lie
    
    Extractions: Summary: In 1989 Feigin and Tsygan proposed an algebraic approach to the Riemann-Roch-Hirzebruch (RRH) formula, based on the Hochschild homology of the algebra of polynomial differential operators. In particular they constructed a distinguished class in the cohomology of the Lie algebra of polynomial vector fields mapping via formal differential geometry to the RRH characteristic class. Recent progress in this subject is based on new developments in deformation quantization, in particular the Tsygan formality conjecture proved by Shoikhet. After introducing basic notions of Lie algebras and their cohomology, we will review this theory and discuss some recent applications to traces in deformation quantization and to extensions of the RRH theorem.

35. IngentaConnect On Characteristically Nilpotent Lie Algebras Of Type Q
    We construct large families of characteristically nilpotent lie algebras by analyzing the centralizers of the ideals in the central descending sequence of  
    http://www.ingentaconnect.com/content/els/00243795/2003/00000367/00000000/art006
    
    Extractions: For Researchers For Librarians CM8ShowAd("HorizontalBanner"); Authors: Bermudez J.M.A. ; Campoamor R. Source: Linear Algebra and its Applications , Volume 367, Number unknown, 1 July 2003 , pp. 193-212(20) Publisher: Elsevier Key: - Free Content - New Content - Subscribed Content - Free Trial Content CM8ShowAd("Skyscraper"); Keywords: [Mathematical Subject Codes] 17B30 [Mathematical Subject Codes] 17B40 [Mathematical Subject Codes] 17B56 Characteristically nilpotent ... Lie algebras Language: English Document Type: Research article DOI: Affiliations: Departamento de Geometria y Topologia, Facultad CC. Matematicas, Universidade Complutense Madrid, 28040 , Madrid, Spain

36. MOTIVIC TRANSFORMATIOMS & LIE ALGEBRAS
    which are the elements of the Lie group SO(2), adding, set theoretically, to the pt inversion operator, to the rotation generator gives the lie algebra of  
    http://graham.main.nc.us/~bhammel/MUSIC/Liemotiv.html
    
    Extractions: Through second hand information on work by Guerino Mazzola (GM) I understand that GM has done motivic analysis of many pieces which range over many styles using his analytic software RUBATO In his book "The Geometry of Tone", (1986), to my knowledge, still only available in German, and which I have not had the oppotunity to read, his general interest in the geometrical aspects of music. One of the influences of this idea can be seen in Chantal Buteau MS thesis: "Motivic Topologies and Their Meaning in the Motivic Analysis of Music" [Caution: last I looked, this file has a wrong suffix; it is really a PostScript File.] This is a further extension since topology is an extension or generalization of geometry, that is based on a concept of "nearness" without the use of a metric. Ever since now seemingly simple welding together of algebra and geometry that every high school student learns, mathematics has evolved to expand and illucidate this connection, creating areas of "Algebraic Geometry", "Algebraic Topology", "K-Theory" and "Geometric Algebra". This and more can be explored at Dave Rusin's Mathematical Atlas: A Gateway to Mathematics Felix Klein understood a geometry as a space where a set of "geometric invariants" are preserved under the action of a group of transformations that act on the space. Ultimately, the essence of the geometry is absorbed into the group itself. I've written a very small

37. LMS JCM (3) 44-75
    To this end we introduce a new concept, a hierarchical algebra, a lie algebra equipped with a countable number of mnary multilinear operations which  
    http://www.lms.ac.uk/jcm/3/lms1999-011/
    
    Extractions: Abstract: Many discretization methods for differential equations that evolve in Lie groups and homogeneous spaces advance the solution in the underlying Lie algebra. The main expense of computation is the calculation of commutators, a task that can be made significantly cheaper by the introduction of appropriate bases of function values, and by the exploitation of redundancies inherent in a Lie-algebraic structure by means of graded spaces. In many Lie groups of practical interest, a convenient alternative to the exponential map is a Cayley transformation, and the subject of this paper is the investigation of graded algebras that occur in this context. To this end we introduce a new concept, a hierarchical algebra , a Lie algebra equipped with a countable number of m -nary multilinear operations which display alternating symmetry and a `hierarchy condition'. We present explicit formulae for the dimension of graded subspaces of free hierarchical algebras and an algorithm for the construction of their basis. The paper is concluded by reviewing a number of applications of our results to numerical methods in a Lie-algebraic setting.

38. CJM - Lie Algebras Of Pro-Affine Algebraic Groups
    So we introduce the prodiscrete topology on the lie algebra $\mathcal{L}(G)$ of the As an example, we show that if $L$ is a sub lie algebra of  
    http://journals.cms.math.ca/cgi-bin/vault/view/nahlus1366

39. Richardson Elements For Classical Lie Algebras
    Parabolic subalgebras of semisimple lie algebras decompose as p = m circle plus n where m is a Levi factor and n the corresponding nilradical.  
    http://repositories.cdlib.org/postprints/1314/

40. Lie Groups, Lie Algebras, Cohomology And Some Applications In Physics - Cambridg
    Cohomology of lie algebras; 7. Group extensions by nonabelian kernels; 8. Cohomology and Wess–Zumino terms an introduction; 9. Infinite-dimensional Lie  
    http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=0521597005

21-40 of 56    Back | 1  | 2  | 3  | Next 20