Representation of Lie Groups and Special Functions

Volume 3: Classical and Quantum Groups and Special Functions

N.Ja. Vilenkin, A.U. Klimyk (Autoren)

Buch | Softcover

634 Seiten

2010 | Softcover reprint of hardcover 1st ed. 1992
Springer (Verlag)
978-90-481-4104-3 (ISBN)

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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.

14: Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions.- 15: Semisimple Lie Groups and Related Homogeneous Spaces.- 16: Representations of Semisimple Lie Groups and Their Matrix Elements.- 17: Group Representations and Special Functions of a Matrix Argument.- 18: Representations in the Gel’fand-Tsetlin Basis and Special Functions.- 19: Modular Forms, Theta Functions and Representations of Affine Lie Algebras.- Bibliography Notes.

Erscheint lt. Verlag	5.12.2010
Reihe/Serie	Mathematics and its Applications ; 75
Zusatzinfo	XX, 634 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	90-481-4104-4 / 9048141044
ISBN-13	978-90-481-4104-3 / 9789048141043
Zustand	Neuware