Ribbon Structure in Symmetric Pre-monoidal Categories

Mathematics – Category Theory

Scientific paper

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To appear in the Proceedings of XXV ICGTMP (Group 25) (Institute of Physics, London.)

Scientific paper

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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