Basic Hypergeometric Functions and the Borel–Weil Construction for $U_q (3)$

DOI10.1137/S0036141092226399zbMath0794.33010OpenAlexW2062661287MaRDI QIDQ4291160

L. C. Biedenharn, M. A. Lohe

Publication date: 6 June 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141092226399

zbMATH Keywords

irreducible representationquantum groupbasic hypergeometric functionBorel-Weil construction

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (3)

The multiple sum formulas for 12j coefficients of SU(2) and uq(2) ⋮ The triple sum formulas for 9j coefficients of SU(2) and uq(2) ⋮ Towards the canonical tensor operators of uq(3). II. The denominator function problem

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