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

Abstract

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.

9 pages, LaTex