13 citations · 13 across the 4 of their papers we have counts for
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Chains of extended Jordanian twists for Lie superalgebras
V. N. Tolstoy
Two type of superization of the Jordanian r-matrix for the Lie algebra sl(2) are considered. One type is associated with the Lie superalgebra sl(1|1) and another type is associated…
About rational-trigonometric deformation
V. N. Tolstoy
We consider a rational-trigonometric deformation in context of rational and trigonometric deformations. The simplest examples of these deformations are presented in different field…
From quantum affine Kac-Moody algebras to Drinfeldians and Yangians
V. N. Tolstoy
A general scheme of construction of Drinfeldians and Yangians from quantum non-twisted affine Kac-Moody algebras is presented. Explicit description of Drinfeldians and Yangians for…
Projection operator method for quantum groups
V. N. Tolstoy
In these lectures we develop the projection operator method for quantum groups. Here the term "quantum groups" means q-deformed universal enveloping algebras of contragredient Lie…
Modified Affine Hecke Algebras and Drinfeldians of Type A
V. N. Tolstoy, O. V. Ogievetsky, P. N. Pyatov +1
We introduce a modified affine Hecke algebra $\h{H}^{+}_{qη}({l})$ ($\h{H}_{qη}({l})$) which depends on two deformation parameters and . When the parameter is equal to z…