Function Theory on a q-Analog of Complex Hyperbolic Space
arXiv:1009.6063
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 -modules related to this cone, and obtain the necessary conditions for those modules to be equivalent.
21 pages