13 citations · 13 across the 5 of their papers we have counts for
5 papers
Superextension of Jordanian Deformation for U(osp(1|2))and its Generalizations
A. Borowiec, J. Lukierski, V. N. Tolstoy
We describe Jordanian ``nonstandard'' deformation of U(osp(1|2)) by employing the twist quantization technique. An extension of these results to U(osp(1|4))describing deformed grad…
Fortieth Anniversary of Extremal Projector Method for Lie Symmetries
V. N. Tolstoy
A brief review of the extremal projector method for Lie symmetries (Lie algebras and superalgebras as well as their quantum analogs) is given. A history of its discovery and some s…
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…