## OP-SF WEB

### 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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