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Finite dimensional representations of the quantum group GL<sub>q</sub>(n; C) and the zonal spherical functions on U<sub>q</sub>(n-1)_??_U<sub>q</sub>(n)

Masatoshi Noumi, Hirofumi Yamada, Katsuhisa Mimachi

Japanese journal of mathematics · 1993 · 113 citations · 16 references

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Abstract

0. 2.1. Quantum G-spaces and relative invariants. 2.2. Representations of GLq(n

References

16

Aq-difference analogue of U(g) and the Yang-Baxter equation

Michio Jimbo · Letters in Mathematical Physics · 1985 · 2.7K citations

, , +14

Compact matrix pseudogroups

S. L. Woronowicz · Communications in Mathematical Physics · 1987 · 1.7K citations

A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation

Michio Jimbo · Letters in Mathematical Physics · 1986 · 1.5K citations

, , +13

Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials

Richard Askey, James Wilson · Memoirs of the American Mathematical Society · 1985 · 1.2K citations

, , +6

The diamond lemma for ring theory

George M. Bergman · Advances in Mathematics · 1978 · 1.2K citations

, , +5