Introduction to Finite and Infinite Dimensional Lie (Super)algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Finite and Infinite Dimensional Lie (Super)algebras write by Neelacanta Sthanumoorthy. This book was released on 2016-04-26. Introduction to Finite and Infinite Dimensional Lie (Super)algebras available in PDF, EPUB and Kindle. 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
Infinite-dimensional Lie Algebras
Infinite-dimensional Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite-dimensional Lie Algebras write by Minoru Wakimoto. This book was released on 2001. Infinite-dimensional Lie Algebras available in PDF, EPUB and Kindle. This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ...... 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 and imaginary root systems) of and the character formula for Kac-Moody superalgebras, which is explained in a very general setting. Only elementary linear algebra and group theory are assumed. Also covered is modular property and asymptotic behavior of integrable characters of affine Lie algebras. The exposition is self-contained and includes examples. The book can be used in a graduate-level course on the topic.
Infinite Dimensional Lie Algebras
Infinite Dimensional Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite Dimensional Lie Algebras write by Victor G. Kac. This book was released on 2013-11-09. Infinite Dimensional Lie Algebras available in PDF, EPUB and Kindle.
Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras write by Victor G. Kac. This book was released on 2013. Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras available in PDF, EPUB and Kindle. 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 the key notions of the theory of vertex algebras--such as quantum fields, their normal ordered product and lambda-bracket, energy-momentum field and conformal weight, untwisted and twisted representations--simplify and clarify the constructions of the first edition of the book. -- Cover.
Infinite-Dimensional Lie Algebras
Infinite-Dimensional Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Infinite-Dimensional Lie Algebras write by Victor G. Kac. This book was released on 1990. Infinite-Dimensional Lie Algebras available in PDF, EPUB and Kindle. 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.
