Classical quasi-trigonometric $r-$matrices of Cremmer-Gervais type and their quantization

Details Classical quasi-trigonometric $r-$matrices of Cremmer-Gervais type and their quantization Classical quasi-trigonometric $r-$matrices of Cremmer-Gervais type and their quantization

2006-12-17

arxiv.org/abs/math/0612484v1

Journal of Nonlinear Mathematical Physics Volume 13, Supplement (2006), 129-136

Mathematics

Quantum Algebra

9 pages, LaTex

Scientific paper

We propose a method of quantization of certain Lie bialgebra structures on
the polynomial Lie algebras related to quasi-trigonometric solutions of the
classical Yang-Baxter equation. The method is based on so-called affinization
of certain seaweed algebras and their quantum analogues.

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