MULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS THE REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPS by Alexander N. Varchenko ( 9789810218805 )

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Title:

MULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS THE REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPS

By:

Alexander N. Varchenko

Format:

Hardback

List price:

£115.00

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£103.50

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£11.50

ISBN 10:

981021880X

ISBN 13:

9789810218805

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Publisher:

WORLD SCIENTIFIC PUBLISHING CO PTE LTD

Pub. date:

1 March, 1995

Series:

Advanced Series In Mathematical Physics 21

Pages:

384

Description:

A review of the connections between multidimensional hypergeometric functions and representation theory illustrated by the solution of the Knizhnik-Zamolodchikov differential equation.

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.

Publication:

Singapore

Imprint:

World Scientific Publishing Co Pte Ltd

Returns:

Returnable

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