Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups

Varchenko, A. N.

ISBN 10: 981021880X / ISBN 13: 9789810218805

Published by World Scientific Pub Co Inc, 1995

About this Item

371 pages. 9.00x6.50x1.00 inches. In Stock.

Seller Inventory # x-981021880X

Bibliographic Details

• Title: Multidimensional Hypergeometric Functions and Representation Theory of Lie Algebras and Quantum Groups
• Publisher: World Scientific Pub Co Inc
• Publication Date: 1995
• Language: English
• ISBN 10: 981021880X
• ISBN 13: 9789810218805
• Binding: Paperback
• Condition: Brand New
• Weight: 0.68 kilograms

About this title

Synopsis

This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik-Zamolodchikov differential equation is solved in multidimensional hypergeometric functions, and the hypergeometric functions yield the connection between the representation theories of Lie algebras and quantum groups. The topics presented in this book are not adequately covered in periodicals.