123 citations · 249 across the 30 of their papers we have counts for
17 papers · 1 filter
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.…
Parabolic twists for algebras sl(n)
V. D. Lyakhovsky
New solutions of twist equations for universal enveloping algebras U(A_{n-1}) are found. They can be presented as products of full chains F_c of extended Jordanian twists, Abelian…
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…
Quantization of Lie-Poisson structures by peripheric chains
Vladimir D. Lyakhovsky, Mariano A. del Olmo
The quantization properties of composite peripheric twists are studied. Peripheric chains of extended twists are constructed for U(sl(N)) in order to obtain composite twists with s…
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^+(…