Abstract

This talk deals with two seemingly disparate mathematical concepts: Lie groupoids and algebroids, and Lie bigebras (bialgebras), also known as Lie-Hopf-algebras (LHA), which have recently found to have applications in quantum field theory, gauge theory, and string theory. Although many of the mathematical concepts have been around for some time, the interest in groupoids lies in potential application to string theories, ‘whereas Lie bigebras appear in recent work by Drinfel’d and others on “quantum groups” and their relation to the classical Yang-Baxter equation.

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