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Braiding for the quantum gl_2 at roots of unity

Presented at Karlstadt, Sweden, 2004
PublisherProvidence, R.I. : American Mathematical society
  • Contemporary mathematics; 391
Publication date2005

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.

  • arxiv : math.QA
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. 183–197. (Contemporary mathematics)
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