SIAM AG on Orthogonal Polynomials and Special Functions


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Extract from OP-SF NET


Topic #9 ---------------- OP-SF NET ----------------- March 14, 1996

From: Tom Koornwinder
Subject: new book

The following book appeared:

L.C. Biedenharn and M.A. Lohe, Quantum group symmetry and q-tensor algebras,
World Scientific, 1995, x+293 pp.

The aim of the monograph is to develop and extend to quantum groups the symmetry techniques familiar from the application of classical groups to models in physics. The authors have taken a uniform approach to quantum groups based on the fundamental concept of a tensor operator.

The book contains some results about q-special functions in connection with quantum groups: in particular on q-analogues of Clebsch-Gordan coefficients and Racah coefficients, and about q-hypergeometric functions in connection with induced representations of the quantized universal enveloping algebra for U(3).


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