15 citations · 93 across the 24 of their papers we have counts for
24 papers
A Quantum Canonical Embedding
O. A. Bershtein, Ye. K. Kolisnyk, S. D. Sinel'shchikov +1
This paper presents an English version of a chapter of the L.L. Vaksman book `Quantum Bounded Symmetric Domains', see arXiv:0803.3769 [math.QA]. This chapter deals with a quantum a…
Quantum Bounded Symmetric Domains
L. L. Vaksman
This is Leonid Vaksman's monograph "Quantum bounded symmetric domains" (in Russian), preceded with an English translation of the table of contents and (a part) of the introduction.…
Differential Calculi on Some Quantum Prehomogeneous Vector Spaces
S. Sinel'shchikov, A. Stolin, L. Vaksman
This paper is devoted to study of differential calculi over quadratic algebras, which arise in the theory of quantum bounded symmetric domains. We prove that in the quantum case di…
On a q-analog of the Wallach-Okounkov formula
O. Bershtein, Ye. Kolisnyk, L. Vaksman
We obtain a -analog of the well known Wallach-Okounkov result on a joint spectrum of invariant differential operators with polynomial coefficients on a prehomogeneous vector spa…
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 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.