Proceedings chapter (190 Kb)  Free access
Highlights
More informations
Title 
Braiding for the quantum gl_2 at roots of unity 

Authors  
Published in  Noncommutative geometry and representation theory in mathematical physics. Karlstadt, Sweden  2004  Providence, R.I.: American Mathematical society. 2005, p. 183197  
Collection 
Contemporary mathematics; 391 

Abstract  In our preceding papers we started considering the categories of tangles with flat Gconnections in their complements, where G is a simple complex algebraic group. The braiding (or the commutativity constraint) in such categories satisfies the holonomy YangBaxter equation and it is this property which is essential for our construction of invariants of tangles with flat Gconnections 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 YangBaxter equation.  
Identifiers  arXiv: math/0410182  
Full text  
Structures  
Citation (ISO format)  KASHAEV, Rinat Mavlyavievich, RESHETIKHIN, N. Braiding for the quantum gl_2 at roots of unity. In: Noncommutative geometry and representation theory in mathematical physics. Karlstadt, Sweden. Providence, R.I. : American Mathematical society, 2005. p. 183197. (Contemporary mathematics; 391) https://archiveouverte.unige.ch/unige:12345 