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eBook Infinite-Dimensional Lie Algebras ePub

eBook Infinite-Dimensional Lie Algebras ePub

by Victor G. Kac

  • ISBN: 0521372151
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Victor G. Kac
  • Language: English
  • Publisher: Cambridge University Press; 3 edition (September 28, 1990)
  • Pages: 421
  • ePub book: 1624 kb
  • Fb2 book: 1597 kb
  • Other: azw lrf mobi doc
  • Rating: 4.6
  • Votes: 219

Description

The book is concerned with Kac-Moody algebras, a particular class of Lie algebras, and their representations. Each chapter begins with a motivating discussion and ends with a collection of exercises with hints to the more challenging problems

The book is concerned with Kac-Moody algebras, a particular class of Lie algebras, and their representations. Each chapter begins with a motivating discussion and ends with a collection of exercises with hints to the more challenging problems. The theory has applications in many areas of mathematics, and Lie algebras have been significant in the study of fundamental particles, including string theory, so this book should appeal to mathematical physicists, as well as mathematicians.

Frenkel, Edward Kac, Victor and Wakimoto, Minoru 1992. Characters and fusion rules forW-algebras via quantized Drinfeld-Sokolov reduction. Communications in Mathematical Physics, Vol. 147, Issue.

Affine Lie algebras and Kac-Moody Lie algebras. The Weyl-Kac formula. Innite-dimensional Lie algebras. 3. Example (Vector elds on S1). Category O. Kac's Casimir.

Bibliographic Information. Infinite Dimensional Lie Algebras.

price for USA in USD (gross). Bibliographic Information.

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In mathematics, there is a classification of low-dimensional real Lie algebras. Let. be. -dimensional Lie algebra over the field of real numbers with generators. Below we give Mubarakzyanov's classification and numeration of these algebras. we adduce only non-zero commutators between basis elements.

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The book is concerned with Kac-Moody algebras, a particular class of Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate courses. The book is concerned with Kac-Moody algebras, a particular class of Lie algebras, and their representations.

This is the third, substantially revised edition of this important monograph. The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate courses. Each chapter begins with a motivating discussion and ends with a collection of exercises, with hints to the more challenging problems.