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Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups on Hardback by Alexander Varchenko
Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups on Hardback by Alexander Varchenko
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Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups

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Description

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 the conformal field theory. The equation is defined in terms of Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with 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.
Release date NZ
March 1st, 1995
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Pages
384
ISBN-13
9789810218805
Product ID
27160081

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