Special Functions, KZ Type Equations, and Representation Theory

Author/creator Varchenko, Alexander Author
Other author Varchenko, A. N. (Aleksandr Nikolaevich) Author
Other author Conference Board of the Mathematical Sciences Staff.
Format Electronic
Publication InfoProvidence : American Mathematical Society
Description118 p. ill
Supplemental ContentFull text available from CBMS Regional Conference Series in Mathematics - Backfile
Subjects

SeriesCBMS Regional Conference Ser. in Mathematics Ser. 98
Summary Annotation 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. We discuss 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. The book contains constructions, discussions of notions, statements of main results, and illustrating 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.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2003062893
ISBN9780821828670
ISBN0821828673 (Trade Paper) Active Record
Standard identifier# 9780821828670
Stock number00001436

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