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Session S16 - Quantum symmetries

Wednesday, July 14, 14:55 ~ 15:20 UTC-3

Computing the truncated Gerstenhaber-Schack bialgebra cohomology

Mitja Mastnak

Saint Mary's University, Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The classification of various certain kinds of pointed Hopf algebras (and more generally Hopf Algebras with the Chevalley property) involves first describing a graded (over non-negative integers) Hopf algebra and then describing all its liftings, i.e., filtered Hopf algebras whose associated graded Hopf algebra is one of the fixed graded Hopf algebra we found in step one. In my talk I will present some results involved in a cohomological approach to computing liftings of a fixed graded Hopf algebra. In particular I will describe some recently developed tools for computing the second and third truncated Gerstenhaber-Schack cohomologies of graded bialgebras.

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