Tensor Product Representations
& Special Functions

By Wolter Groenevelt
September 2004
Delft University Press
ISBN: 9040725047
255 pages, 6 " x 9 "
$79.50 Paper Original


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)).


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