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 Uqsun,m-modules related to this cone, and obtain the necessary conditions for those modules to be equivalent.
| Original language | English |
|---|---|
| Journal | J. of Geometry and Physics |
| Volume | 62 |
| Issue number | 5 |
| Pages (from-to) | 1323-1337 |
| Number of pages | 15 |
| Publication status | Published - May 2012 |