Full chains of twists for orthogonal algebras
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.
 Publication:

Czechoslovak Journal of Physics
 Pub Date:
 November 2000
 DOI:
 10.1023/A:1022873326934
 arXiv:
 arXiv:math/0008044
 Bibcode:
 2000CzJPh..50.1291K
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Dynamical Systems;
 17B37
 EPrint:
 Latex, 7p. Talk given at 9th International Colloquium "Quantum Groups and Integrable Systems", Prague, 2224 June 2000