64 citations · 361 across the 27 of their papers we have counts for
16 papers · 1 filter
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra U_q(u(n,1))
R. M. Asherova, Č. Burdík, M. Havlíček +2
For the quantum algebra U_q(gl(n+1)) in its reduction on the subalgebra U_q(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Z_q(gl(n+1),gl(n)) is give…
Twisted Quantum Deformations of Lorentz and Poincaré algebras
V. N. Tolstoy
We discussed twisted quantum deformations of D=4 Lorentz and Poincare algebras. In the case of Poincare algebra it is shown that almost all classical r-matrices of S.Zakrzewski cla…
On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization
S. M. Khoroshkin, I. I. Pop, M. E. Samsonov +2
We study classical twists of Lie bialgebra structures on the polynomial current algebra , where is a simple complex finite-dimensional Lie algebra.…
Quantum Deformations of Relativistic Symmetries
V. N. Tolstoy
We discussed quantum deformations of D=4 Lorentz and Poincare algebras. In the case of Poincare algebra it is shown that almost all classical r-matrices of S. Zakrzewski classifica…
Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras
V. N. Tolstoy
We discuss quantum deformations of Jordanian type for Lie superalgebras. These deformations are described by twisting functions with support from Borel subalgebras and they are mul…
Quantum seaweed algebras and quantization of affine Cremmer-Gervais r-matrices
M. Samsonov, A. Stolin, V. Tolstoy
We propose a method of quantization of certain Lie bialgebra structures on the polynomial Lie algebras related to quasi-trigonometric solutions of the classical Yang--Baxter equati…