Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups
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A01=Alexander Varchenko
Author_Alexander Varchenko
Category=PBKJ
Category=PBM
Category=PBP
Category=PH
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Hypergeometric Function
Hypergeometric Integral
Hypergeometric Type Function
Kac-Moody Algebra
Monodromy
Quantum Group
Representations of a Kac-Moody Algebra
Representations of a Quantum Group
Product details
- ISBN 9789810218805
- Publication Date: 01 Mar 1995
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
