Tensor Product Representations

& Special Functions

By Wolter Groenevelt

September 2004

Delft University Press

ISBN: 9040725047

255 pages, 6 ½" x 9 ½"

$79.50 Paper Original

OUT OF PRINT

This is a Ph.D. dissertation. There is an intimate relation between special functions of hypergeometric type and representation theory of Lie groups and Lie algebras. Both research fields benefit from this relation; representation theory can be used to obtain results for special functions, and special function theory can be used to find representation theoretic results.

This thesis refers to the books by Vilenkin and Klimyk for many examples of special functions related to representation theory.

Contents include: Introduction, Integral Transforms, Clebsch-Gordan Coefficients for su(1,1), Racah Coefficients for su(1,1), Clebsch-Gordan coefficients for Uq(su(1,1)), Racah coefficients for Uq(su(1,1)).

Mathematics

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