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:
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- Mathematics - Quantum Algebra;
- Mathematics - Dynamical Systems;
- 17B37
- E-Print:
- Latex, 7p. Talk given at 9th International Colloquium "Quantum Groups and Integrable Systems", Prague, 22-24 June 2000