Braiding for the quantum gl_2 at roots of unity

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dc.creatorKashaev, R.
dc.creatorReshetikhin, N.
dc.date2004-10-06
dc.date.accessioned2026-07-07T05:13:00Z
dc.date.available2026-07-07T05:13:00Z
dc.descriptionIn 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.
dc.description18 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0410182
dc.identifierhttp://arxiv.org/abs/math/0410182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72791
dc.subjectQuantum Algebra
dc.subject16W30
dc.titleBraiding for the quantum gl_2 at roots of unity
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