Full chains of twists for orthogonal algebras
Quantum Algebra
2009-10-31 v1 Dynamical Systems
Abstract
We show that for some Hopf subalgebras in U_F(so(M)) nontrivially deformed by a twist F it is possible to find the nonlinear primitive copies. This enlarges the possibilities to construct chains of twists. For orthogonal algebra U(so(M)) we present a method to compose the full chains with carrier space as large as the Borel subalgebra B(so(M)). These chains can be used to construct the new deformed Yangians.
Keywords
Cite
@article{arxiv.math/0008044,
title = {Full chains of twists for orthogonal algebras},
author = {Petr P. Kulish and Vladimir D. Lyakhovsky and Alexander A. Stolin},
journal= {arXiv preprint arXiv:math/0008044},
year = {2009}
}
Comments
Latex, 7p. Talk given at 9th International Colloquium "Quantum Groups and Integrable Systems", Prague, 22-24 June 2000