introduction to finite and infinite dimensional lie superalgebras

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Introduction to Finite and Infinite Dimensional Lie  Super algebras
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Publisher : Academic Press
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ISBN 10 : 012804683X
Pages : 512 pages
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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

Introduction to Finite and Infinite Dimensional Lie  Super algebras

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

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Infinite dimensional Lie Algebras

This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ${\widehat {\mathfrak {sl}}}(2, {\mathbb C})$, root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. Continuing on, the main subjects of the book are the structure (real

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Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras

The second edition of this book incorporates, as its first part, the largely unchanged text of the first edition, while its second part is the collection of lectures on vertex algebras, delivered by Professor Kac at the TIFR in January 2003. The basic idea of these lectures was to demonstrate how

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Infinite Dimensional Lie Superalgebras

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to

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Automorphic Forms and Lie Superalgebras

This book provides the reader with the tools to understand the ongoing classification and construction project of Lie superalgebras. It presents the material in as simple terms as possible. Coverage specifically details Borcherds-Kac-Moody superalgebras. The book examines the link between the above class of Lie superalgebras and automorphic form and

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Geometry and Analysis on Finite  and Infinite dimensional Lie Groups

Download or read online Geometry and Analysis on Finite and Infinite dimensional Lie Groups written by Aleksander Strasburger, published by Unknown which was released on 2002. Get Geometry and Analysis on Finite and Infinite dimensional Lie Groups Books now! Available in PDF, ePub and Kindle.

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Mathematical Reviews

Download or read online Mathematical Reviews written by Anonim, published by Unknown which was released on 2008. Get Mathematical Reviews Books now! Available in PDF, ePub and Kindle.

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Journal of the Mathematical Society of Japan

Download or read online Journal of the Mathematical Society of Japan written by Nihon Sūgakkai, published by Unknown which was released on 2005. Get Journal of the Mathematical Society of Japan Books now! Available in PDF, ePub and Kindle.

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Lie Algebras  Theory and Algorithms

The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an introduction into the theory of finite-dimensional Lie algebras. These two subject areas are intimately related. First of all, the

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Lectures on Infinite Dimensional Lie Algebra

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

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Compact Lie Groups and Their Representations

Download or read online Compact Lie Groups and Their Representations written by Dmitriĭ Petrovich Zhelobenko, published by American Mathematical Soc. which was released on 1973-01-01. Get Compact Lie Groups and Their Representations Books now! Available in PDF, ePub and Kindle.

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Lie Superalgebras and Enveloping Algebras

Download or read online Lie Superalgebras and Enveloping Algebras written by Ian Malcolm Musson, published by American Mathematical Soc. which was released on . Get Lie Superalgebras and Enveloping Algebras Books now! Available in PDF, ePub and Kindle.

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Dualities and Representations of Lie Superalgebras

This book gives a systematic account of the structure and representation theory of finite-dimensional complex Lie superalgebras of classical type and serves as a good introduction to representation theory of Lie superalgebras. Several folklore results are rigorously proved (and occasionally corrected in detail), sometimes with new proofs. Three important dualities

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New Technical Books

Download or read online New Technical Books written by New York Public Library, published by Unknown which was released on 1990. Get New Technical Books Books now! Available in PDF, ePub and Kindle.

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Seminari di geometria

Download or read online Seminari di geometria written by Anonim, published by Unknown which was released on 2004. Get Seminari di geometria Books now! Available in PDF, ePub and Kindle.

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