15 citations · 70 across the 21 of their papers we have counts for
21 papers
-symmetries of the quantum disc: a complete list
Sergey D. Sinel'shchikov
This work presents a classification of -symmetries on the quantum disc. The principal invariant of such classification, the grading jump, is introduced. It tu…
The Laurent Extension of Quantum Plane: a Complete List of -Symmetries
Sergey D. Sinel'shchikov
This work finishes a classification of -symmetries on the Laurent extension of the quantum plane. After reproducin…
Generic symmetries of the Laurent extension of quantum plane
Sergey D. Sinel'shchikov
A list of generic -module algebra structures on the Laurent polynomial algebra over the quantum plane with uncountably many isomorphism classes is produced. Also, a comp…
Classification of U_q(sl_2)-module algebra structures on the quantum plane
Steven Duplij, Sergey Sinel'shchikov
A complete list of Uq(sl2)-module algebra structures on the quantum plane is produced and the (uncountable family of) isomorphism classes of these structures are described. The com…
A q-Analog of the Hua Equations
O. Bershtein, S. Sinel'shchikov
A necessary condition is established for a function to be in the image of a quantum Poisson integral operator associated to the Shilov boundary of the quantum matrix ball. A quantu…
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…