566 citations · 1.1k across the 45 of their papers we have counts for
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q-alg1996★ 18 cited
Irreducible representations of deformed oscillator algebra and q-special functions
E. V. Damaskinsky, P. P. Kulish
Different generators of a deformed oscillator algebra give rise to one-parameter families of -exponential functions and -Hermite polynomials related by generating functions.…
q-alg1996★ 13 cited
Dirac operators on quantum group and quantum sphere
P. N. Bibikov, P. P. Kulish
Definition of Dirac operators on the quantum group and the quantum sphere are discussed. In both cases similar -invariant form is obtained. It…
q-alg1996★ 41 cited
New rational solutions of Yang-Baxter equation and deformed Yangians
A. Stolin, P. P. Kulish
In this paper a class of new quantum groups is presented: deformed Yangians. They arise from rational solutions of the classical Yang-Baxter equation of the form .…