Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups (Advanced Mathematical Physics) - Softcover

Varchenko, A

 
9789810218805: Multidimensional Hypergeometric Functions The Representation Theory Of Lie Algebras And Quantum Groups (Advanced Mathematical Physics)
Softcover
ISBN 10: 981021880X ISBN 13: 9789810218805
Publisher: Wspc, 1995

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.

"synopsis" may belong to another edition of this title.

Publisher
Wspc
Publication date
1995
Language
English
ISBN 10 
981021880X
ISBN 13 
9789810218805
Binding
Paperback
Number of pages
382