The Hyperbolic Kac-Moody Lie Algebra of Type G_2^(1) and Its Root Multiplicities PDF Download
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Author: Brittany Louise Hansen
Publisher:
ISBN:
Category :
Languages : en
Pages : 125
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Book Description
Author: Brittany Louise Hansen
Publisher:
ISBN:
Category :
Languages : en
Pages : 125
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Book Description
Author: Naihuan Jing
Publisher: American Mathematical Soc.
ISBN: 0821811991
Category : Mathematics
Languages : en
Pages : 482
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Book Description
This volume reflects the proceedings of the International Conference on Representations of Affine and Quantum Affine Algebras and Their Applications held at North Carolina State University (Raleigh). In recent years, the theory of affine and quantum affine Lie algebras has become an important area of mathematical research with numerous applications in other areas of mathematics and physics. Three areas of recent progress are the focus of this volume: affine and quantum affine algebras and their generalizations, vertex operator algebras and their representations, and applications in combinatorics and statistical mechanics. Talks given by leading international experts at the conference offered both overviews on the subjects and current research results. The book nicely presents the interplay of these topics recently occupying "centre stage" in the theory of infinite dimensional Lie theory.
Author: Neelacanta Sthanumoorthy
Publisher: American Mathematical Soc.
ISBN: 0821833375
Category : Mathematics
Languages : en
Pages : 384
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Book Description
This volume is the proceedings of the Ramanujan International Symposium on Kac-Moody Lie algebras and their applications. The symposium provided researchers in mathematics and physics with the opportunity to discuss new developments in this rapidly-growing area of research. The book contains several excellent articles with new and significant results. It is suitable for graduate students and researchers working in Kac-Moody Lie algebras, their applications, and related areas of research.
Author: Roger William Carter
Publisher: Cambridge University Press
ISBN: 9780521851381
Category : Mathematics
Languages : en
Pages : 662
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Book Description
This book provides a thorough but relaxed mathematical treatment of Lie algebras.
Author: Pramod M. Achar
Publisher: American Mathematical Society
ISBN: 0821898523
Category : Mathematics
Languages : en
Pages : 296
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Book Description
This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.
Author: Neelacanta Sthanumoorthy
Publisher: Academic Press
ISBN: 012804683X
Category : Mathematics
Languages : en
Pages : 514
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Book Description
Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their representations. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. - Discusses the fundamental structure and all root relationships of Lie algebras and Lie superalgebras and their finite and infinite dimensional representation theory - Closely describes BKM Lie superalgebras, their different classes of imaginary root systems, their complete classifications, root-supermultiplicities, and related combinatorial identities - Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras - Focuses on Kac-Moody algebras
Author: Gülen Aktas
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 416
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Book Description
The topics in this volume constitute a fitting tribute by distinguished physicists and mathematicians. They cover strings, conformal field theories, W and Virasoro algebras, topological field theory, quantum groups, vertex and Hopf algebras, and non-commutative geometry. The relatively long contributions are pedagogical in style and address students as well as scientists.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1100
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Book Description
Author: Victor G. Kac
Publisher: Cambridge University Press
ISBN: 9780521466936
Category : Mathematics
Languages : en
Pages : 428
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Book Description
The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris.
Author:
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 250
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Book Description
