Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions (Mathematics and its Applications)

Vilenkin, N.Ja. Ja.; Klimyk, A.U.

ISBN 10: 9048141044 ISBN 13: 9789048141043

Editorial: Springer, 2010

Idioma: Ingl�s

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Detalles bibliogr�ficos

T�tulo

Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions (Mathematics and its Applications)

Editor

Springer

Fecha de publicaci�n

2010

Idioma

Ingl�s

ISBN 10

9048141044

ISBN 13

9789048141043

Encuadernaci�n

Encuadernaci�n de tapa blanda

Estado

New

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Sinopsis

This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fand-Tsetlin basis, and, finally, modular forms, theta-functions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.

Rese�a del editor

Onc service malhemalics has rendered Ihe "Et moil ...� si ravait au oomment en revcnir. je n'y serais point aU':' human race. It has put common sense back whcre it belongs, on the topmost shelf next Iules Verne to the dUlty canister IabeUed 'discarded n- sense'. The series is divergent; therefore we may be Eric T. BeU able to do something with it. O. H eaviside Mathematics is a tool for thought, A highly necessary tool in a world where both feedback and non� linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com� puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'are of this series.

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