4 citations · 6 across the 4 of their papers we have counts for
4 papers
Function Theory on a q-Analog of Complex Hyperbolic Space
O. Bershtein, S. D. Sinel'shchikov
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' func…
Fock Representations and Quantum Matrices
D. Shklyarov, S. Sinel'shchikov, L. Vaksman
In this paper we study the Fock representation of a certain -algebra which appears naturally in the framework of quantum group theory. It is also a generalization of the twisted…
Quantum groups and non-commutative complex analysis
S. Sinel'shchikov, L. Vaksman
The maximum principle for holomirphic functions in the quantum ball is formulated. A proof can be found in [8] (see the bibliography).
Hidden Symmetry of the Differential Calculus on the Quantum Matrix Space
S. Sinel'shchikov, L. Vaksman
A standard bicovariant differential calculus on a quantum matrix space is considered. The principal result of this work is in observing that the $U_q\frak{s}(\fr…