UNIGE document Chapitre d'actes
previous document  unige:12345  next document
add to browser collection

Braiding for the quantum gl_2 at roots of unity

Reshetikhin, N.
Published in Noncommutative geometry and representation theory in mathematical physics. Karlstadt, Sweden - 2004 - Providence, R.I.: American Mathematical society. 2005, p. 183-197
Collection Contemporary mathematics; 391
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.
Stable URL https://archive-ouverte.unige.ch/unige:12345
Full text
Proceedings chapter (190 Kb) - public document Free access

143 hits



Deposited on : 2010-11-05

Export document
Format :
Citation style :