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arxiv: math/0501400 · v1 · submitted 2005-01-24 · 🧮 math.CT · math-ph· math.MP

Ribbon Structure in Symmetric Pre-monoidal Categories

classification 🧮 math.CT math-phmath.MP
keywords algebrapre-monoidalribbonsymmetriccategoriescategorydeformationdenote
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Let U(g) denote the universal enveloping algebra of a Lie algebra g. We show the existence of a ribbon algebra in a particular deformation of U(g) which leads to a symmetric pre-monoidal category of U(g)-modules.

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