1 citations · 1 across the 3 of their papers we have counts for
16 papers
Quantum Groups and Bounded Symmetric Domains
S. Sinel'shchikov, L. Vaksman
Recent results of the authors on quantum bounded symmetric domains and quantum Harish-Chandra modules are expounded.
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).
A Quantum Analogue of the Bernstein Functor
S. Sinel'shchikov, A. Stolin, L. Vaksman
We consider Knapp-Vogan Hecke algebras in the quantum group setting. This allows us to produce a quantum analogue of the Bernstein functor as a first step towards the cohomological…
Lectures on q-analogues of Cartan domains and associated Harish-Chandra modules
L. Vaksman
This volume contains a mildly expanded version of lectures and talks at seminars and conferences, as well as review papers on subjects listed in the title of the volume. A great de…
Quantum matrix ball: the Cauchi-Szegö kernel and the Shilov boundary
L. Vaksman
This work produces a q-analogue of the Cauchi-Szegö integral representation that retrieves a holomorphic function in the matrix ball from its values on the Shilov boundary. Besides…
Quantum matrix ball: the Bergman kernel
D. Shklyarov, S. Sinel'shchikov, L. Vaksman
In our preprint q-alg/9703005 q-analogues of bounded symmetric domains were defined to be homogeneous spaces of the associated quantum groups. The investigation of a simplest among…