Introduction to Finite and Infinite Dimensional Lie Super algebras

Written By Neelacanta Sthanumoorthy
Introduction to Finite and Infinite Dimensional Lie  Super algebras
  • Publsiher : Academic Press
  • Release : 26 April 2016
  • ISBN : 012804683X
  • Pages : 512 pages
  • Rating : /5 from reviews
GET THIS BOOKIntroduction to Finite and Infinite Dimensional Lie Super algebras


Download or read book entitled Introduction to Finite and Infinite Dimensional Lie Super algebras by author: Neelacanta Sthanumoorthy which was release on 26 April 2016 and published by Academic Press with total page 512 pages . This book available in PDF, EPUB and Kindle Format. 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

Introduction to Finite and Infinite Dimensional Lie  Super algebras
  • Author : Neelacanta Sthanumoorthy
  • Publisher : Academic Press
  • Release Date : 2016-04-26
  • Total pages : 512
  • ISBN : 012804683X
GET BOOK

Summary : 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 ...

Infinite dimensional Lie Algebras

Infinite dimensional Lie Algebras
  • Author : Minoru Wakimoto
  • Publisher : American Mathematical Soc.
  • Release Date : 2001
  • Total pages : 304
  • ISBN : 012804683X
GET BOOK

Summary : 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 ...

Infinite Dimensional Lie Superalgebras

Infinite Dimensional Lie Superalgebras
  • Author : Yuri Bahturin,Alexander V. Mikhalev,Viktor M. Petrogradsky,Mikhail V. Zaicev
  • Publisher : Walter de Gruyter
  • Release Date : 1992-01-01
  • Total pages : 260
  • ISBN : 012804683X
GET BOOK

Summary : 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 ...

Infinite Dimensional Lie Algebras

Infinite Dimensional Lie Algebras
  • Author : Victor G. Kac
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • Total pages : 252
  • ISBN : 012804683X
GET BOOK

Summary : Read online Infinite Dimensional Lie Algebras written by Victor G. Kac, published by Springer Science & Business Media which was released on 2013-11-11. Download full Infinite Dimensional Lie Algebras Books now! Available in PDF, ePub and Kindle....

Ring Theory Proceedings Of The Biennial Ohio State denison Conference 1992

Ring Theory   Proceedings Of The Biennial Ohio State denison Conference 1992
  • Author : Jain Surender K,Rizvi Syed Tariq
  • Publisher : World Scientific
  • Release Date : 1993-09-30
  • Total pages : 392
  • ISBN : 012804683X
GET BOOK

Summary : This invaluable book deals with the many-electron theory of the solid state. Mastery of the material in it will equip the reader for research in areas such as high-temperature superconductors and the fractional quantum Hall effect. The whole book has been designed to provide the diligent reader with a wide ...

Geometry and Analysis on Finite and Infinite dimensional Lie Groups

Geometry and Analysis on Finite  and Infinite dimensional Lie Groups
  • Author : Aleksander Strasburger
  • Publisher : Unknown
  • Release Date : 2002
  • Total pages : 357
  • ISBN : 012804683X
GET BOOK

Summary : Read online Geometry and Analysis on Finite and Infinite dimensional Lie Groups written by Aleksander Strasburger, published by which was released on 2002. Download full Geometry and Analysis on Finite and Infinite dimensional Lie Groups Books now! Available in PDF, ePub and Kindle....

Dualities and Representations of Lie Superalgebras

Dualities and Representations of Lie Superalgebras
  • Author : Shun-Jen Cheng,Weiqiang Wang
  • Publisher : American Mathematical Soc.
  • Release Date : 2012
  • Total pages : 302
  • ISBN : 012804683X
GET BOOK

Summary : 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 ...

Automorphic Forms and Lie Superalgebras

Automorphic Forms and Lie Superalgebras
  • Author : Urmie Ray
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-03-06
  • Total pages : 278
  • ISBN : 012804683X
GET BOOK

Summary : 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 ...

Mathematical Reviews

Mathematical Reviews
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2008
  • Total pages : 212
  • ISBN : 012804683X
GET BOOK

Summary : Read online Mathematical Reviews written by , published by which was released on 2008. Download full Mathematical Reviews Books now! Available in PDF, ePub and Kindle....

Journal of the Mathematical Society of Japan

Journal of the Mathematical Society of Japan
  • Author : Nihon Sūgakkai
  • Publisher : Unknown
  • Release Date : 2005
  • Total pages : 212
  • ISBN : 012804683X
GET BOOK

Summary : Read online Journal of the Mathematical Society of Japan written by Nihon Sūgakkai, published by which was released on 2005. Download full Journal of the Mathematical Society of Japan Books now! Available in PDF, ePub and Kindle....

New Technical Books

New Technical Books
  • Author : New York Public Library
  • Publisher : Unknown
  • Release Date : 1990
  • Total pages : 212
  • ISBN : 012804683X
GET BOOK

Summary : Read online New Technical Books written by New York Public Library, published by which was released on 1990. Download full New Technical Books Books now! Available in PDF, ePub and Kindle....

Seminari di geometria

Seminari di geometria
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2004
  • Total pages : 212
  • ISBN : 012804683X
GET BOOK

Summary : Read online Seminari di geometria written by , published by which was released on 2004. Download full Seminari di geometria Books now! Available in PDF, ePub and Kindle....

Advances in Theoretical and Mathematical Physics

Advances in Theoretical and Mathematical Physics
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1998
  • Total pages : 212
  • ISBN : 012804683X
GET BOOK

Summary : Read online Advances in Theoretical and Mathematical Physics written by , published by which was released on 1998. Download full Advances in Theoretical and Mathematical Physics Books now! Available in PDF, ePub and Kindle....

Algebra Colloquium

Algebra Colloquium
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2000
  • Total pages : 212
  • ISBN : 012804683X
GET BOOK

Summary : Read online Algebra Colloquium written by , published by which was released on 2000. Download full Algebra Colloquium Books now! Available in PDF, ePub and Kindle....

Abstracts of Papers Presented to the American Mathematical Society

Abstracts of Papers Presented to the American Mathematical Society
  • Author : American Mathematical Society
  • Publisher : Unknown
  • Release Date : 2005
  • Total pages : 212
  • ISBN : 012804683X
GET BOOK

Summary : Read online Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society, published by which was released on 2005. Download full Abstracts of Papers Presented to the American Mathematical Society Books now! Available in PDF, ePub and Kindle....