3 citations · 3 across the 1 of their papers we have counts for
8 papers
Dynamical reflection equation
Petr Kulish, Andrey Mudrov
We construct a dynamical reflection equation algebra, , via a dynamical twist of the ordinary reflection equation algebra. A dynamical version of the reflecti…
Full chains of twists for symplectic algebras
David Ananikian, Petr Kulish, Vladimir Lyakhovsky
The problem of constructing the explicit form for full twist deformations of simple Lie algebras g with twist carriers containing the maximal nilpotent subalgebra N^+(g) is studied…
Jordanian twists on deformed carrier subspaces
Petr P. Kulish, Vladimir D. Lyakhovsky
The nontrivial subspaces with primitive coproducts are found in the deformed universal enveloping algebras. They can form carrier spaces for additional Jordanian twists. The latter…
Inhomogeneous quantum Lie algebras
P. P. Kulish, A. I. Mudrov
We study quantization of a class of inhomogeneous Lie bialgebras which are crossproducts in dual sectors with Abelian invariant parts. This class forms a category stable under dual…
On twisting solutions to the Yang-Baxter equation
P. P. Kulish, A. I. Mudrov
Sufficient conditions for an invertible two-tensor to relate two solutions to the Yang-Baxter equation via the transformation are formulated. Those condi…
Super-jordanian deformation of the orthosymplectic Lie superalgebras
P. P. Kulish
The recently proposed jordanian quantization of the Lie superalgebra due to the embedding , is extended including odd generators into the twistin…