102 citations · 621 across the 36 of their papers we have counts for
Showing 1999 · math.QAShow all
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math.QA1999★ 8 cited
On the Casimir Elements of q-Algebras U'_q(so_n) and Their Eigenvalues in Representations
A. M. Gavrilik, N. Z. Iorgov
The nonstandard q-deformed algebras U'_q(so_n) are known to possess q-analogues of Gel'fand-Tsetlin type representations. For these q-algebras, all the Casimir elements (correspond…
math.QA1999★ 8 cited
Nonclassical type representations of the q-deformed algebra
N. Z. Iorgov, A. U. Klimyk
The nonstandard q-deformation of the universal enveloping algebra has irreducible finite dimensional representations which are a q-deformation of…
math.QA1999
Nonclassical representations of the nonstandard deformations U'_q(so_n), U_q(iso_n) and U'_q(so_{n,1})
N. Z. Iorgov, A. U. Klimyk
The aim of this paper is to announce the results on irreducible nonclassical type representations of the nonstandard q-deformations U'_q(so_n), U_q(iso_n) and U'_q(so_{n,1}) of the…