Special Functions, KZ Type Equations, and Representation Theory

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A01=Alexander Varchenko
Author_Alexander Varchenko
Category=PBPD
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Product details

  • ISBN 9780821828670
  • Weight: 234g
  • Publication Date: 30 Nov 2003
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Paperback
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The last twenty years have seen an active interaction between mathematics and physics. This book is devoted to one of the new areas which deals with mathematical structures related to conformal field theory and its $q$-deformations. In the book, the author discusses the interplay between Knizhnik-Zamolodchikov type equations, the Bethe ansatz method, representation theory, and geometry of multi-dimensional hypergeometric functions. This book aims to provide an introduction to the area and expose different facets of the subject. It contains constructions, discussions of notions, statements of main results, and illustrative examples. The exposition is restricted to the simplest case of the theory associated with the Lie algebra $\mathfrak {sl}_2$. This book is intended for researchers and graduate students in mathematics and in mathematical physics, in particular to those interested in applications of special functions.

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