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arXiv · 1009.6063

Function Theory on a q-Analog of Complex Hyperbolic Space

O. Bershtein·S. D. Sinel'shchikov
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Abstract

This work deals with function theory on quantum complex hyperbolic spaces. The principal notions are expounded. We obtain explicit formulas for invariant integrals on `finite' functions on a quantum hyperbolic space and on the associated quantum isotropic cone. Also we establish principal series of $U_q \mathfrak{su}_{n,m}$-modules related to this cone, and obtain the necessary conditions for those modules to be equivalent.

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BibTeXRIS

O. Bershtein, S. D. Sinel'shchikov. 2010-09-30. Function Theory on a q-Analog of Complex Hyperbolic Space. https://arxiv.org/abs/1009.6063

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