53 citations · 65 across the 4 of their papers we have counts for
4 papers
On a class of skew classical r-matrices with large carrier
Vladimir D. Lyakhovsky
Classical r-matrices with carriers g_c containing the Borel subalgebra b(+,g) of simple Lie algebra g are studied. Using the graphycal presentation of the dual Lie algebra g#(r) we…
Chains of Frobenius subalgebras of so(M) and the corresponding twists
V. D. Lyakhovsky, A. Stolin, P. P. Kulish
Chains of extended jordanian twists are studied for the universal enveloping algebras U(so(M)). The carrier subalgebra of a canonical chain F cannot cover the maximal nilpotent sub…
Chains of twists for classical Lie algebras
P. P. Kulish, V. D. Lyakhovsky, M. A. del Olmo
For chains of regular injections A_p -> A_(p-1) -> ... -> A_1 -> A_0 of Hopf algebras the sets of maximal extended Jordanian twists F_E are considered. We prove that under certain…
BRST Algebra Quantum Double and Quantization of the Proper Time Cotangent Bundle
V. D. Lyakhovsky, V. I. Tkach
The quantum double for the quantized BRST superalgebra is studied. The corresponding R-matrix is explicitly constucted. The Hopf algebras of the double form an analytical variety w…