Braiding for the quantum gl_2 at roots of unity
Quantum Algebra
2007-05-23 v1
Abstract
In our preceding papers we started considering the categories of tangles with flat G-connections in their complements, where G is a simple complex algebraic group. The braiding (or the commutativity constraint) in such categories satisfies the holonomy Yang-Baxter equation and it is this property which is essential for our construction of invariants of tangles with flat G-connections in their complements. In this paper, to any pair of irreducible modules over the quantized universal enveloping algebra of gl_2 at a root of unity, we associate a solution of the holonomy Yang-Baxter equation.
Cite
@article{arxiv.math/0410182,
title = {Braiding for the quantum gl_2 at roots of unity},
author = {R. Kashaev and N. Reshetikhin},
journal= {arXiv preprint arXiv:math/0410182},
year = {2007}
}
Comments
18 pages, 1 figure