1 citations · 1 across the 2 of their papers we have counts for
6 papers
Generalized classical Yang-Baxter equation and regular decompositions
Raschid Abedin, Stepan Maximov, Alexander Stolin
The focus of the paper is on constructing new solutions of the generalized classical Yang-Baxter equation (GCYBE) that are not skew-symmetric. Using regular decompositions of finit…
Deformed Richardson-Gaudin model
P. Kulish, A. Stolin, H. Johannesson
The Richardson-Gaudin model describes strong pairing correlations of fermions confined to a finite chain. The integrability of the Hamiltonian allows for its eigenstates to be cons…
Algebraic Bethe Ansatz for deformed Gaudin model
N. Cirilo-Antonio, N. Manojlovic, A. Stolin
The Gaudin model based on the sl_2-invariant r-matrix with an extra Jordanian term depending on the spectral parameters is considered. The appropriate creation operators defining t…
Classification of Lie bialgebras over current algebras
F. Montaner, A. Stolin, E. Zelmanov
In the present paper we present a classification of Lie bialgebra structures on Lie algebras of type g[[u]] and g[u], where g is a simple finite dimensional Lie algebra.
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…
Deformed Yangians and Integrable Models
P. P. Kulish, A. A. Stolin
Twisted Hopf algebra gives rise to a deformation of the Yangian . The corresponding deformations of the integrable XXX-spin chain and the Gaudin model ar…