566 citations · 1.1k across the 45 of their papers we have counts for
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Twisting adjoint module algebras
Petr Kulish, Andrey Mudrov
Transformation of operator algebras under Hopf algebra twist is studied. It is shown that that adjoint module algebras are stable under the twist. Applications to vector fields on…
Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matrices
P. P. Kulish, N. Manojlovic, Z. Nagy
A reducible representation of the Temperley-Lieb algebra is constructed on the tensor product of n-dimensional spaces. One obtains as a centraliser of this action a quantum algebra…
Twists in U(sl(3)) and their quantizations
P. P. Kulish, V. D. Lyakhovsky, M. E. Samsonov
The solution of the Drinfeld equation corresponding to the full set of different carrier subalgebras in sl(3) are explicitly constructed. The obtained Hopf structures are studied.…
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…
Deformation of orthosymplectic Lie superalgebra osp(1|2)
E. Celeghini, P. P. Kulish
Triangular deformation of the orthosymplectic Lie superalgebra osp(1|4) is defined by chains of twists. Corresponding classical r-matrix is obtained by a contraction procedure from…
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…