Levi-Civita connections on bicovariant differential calculus

Abstract: In this talk, we will propose a definition of Levi-Civita connections on bicovariant differential calculi of Hopf algebras, which satisfy a technical property. Given a bi-invariant metric on such a calculus, we will present a sufficient condition for the existence of a unique bicovariant Levi-Civita connection on the calculus. We will discuss examples of Hopf algebras that fit into this framework. This talk is based on a joint work with Jyotishman Bhowmick.

functional analysisK-theory and homologyoperator algebras

Audience: researchers in the topic

Webinars on Operator Theory and Operator Algebras