Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions: 75 (Mathematics and its Applications) - Hardcover

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

Hardcover

ISBN 10: 079231493X ISBN 13: 9780792314936

Verlag: Springer, 1992

Inhaltsangabe

Book by Vilenkin NJa Klimyk AU

Über diesen Titel

Reseña 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.

Reseña del editor

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%.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1992
• ISBN 10: 079231493X
• ISBN 13: 9780792314936
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 660