5 citations · 5 across the 2 of their papers we have counts for
7 papers
Two-parameter extensions of the κ-Poincaré quantum deformation
J. Lukierski, V. D. Lyakhovsky
We consider the extensions of classical r-matrix for κ-deformed Poincaré algebra which satisfy modified Yang-Baxter equation. Two examples introducing additional deformation parame…
Twist deformations in dual coordinates
Vladimir Lyakhovsky
Twist deformation U_F(g) is equivalent to the quantum group Fun_d(G#) and has two preferred bases: the one originating from U(g) and that of the coordinate functions on the dual Li…
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…
Elementary parabolic twist
Vladimir Lyakhovsky, Maxim Samsonov
The twist deformations for simple Lie algebras U(g) whose twisting elements F are known explicitly are usually defined on the carrier subspace injected in the Borel subalgebra B^+(…
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…
Twist deformations for Yangians
Vladimir D. Lyakhovsky
It is demonstrated how chains of twists for classical Lie algebras induce the new twist deformations (the deformed Yangians) that quantize the generalized rational solutions of the…