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January 8, 2019

1:50PM - 2:50PM

Location

Cockins Hall 240

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`2019-01-08 13:50:00``2019-01-08 14:50:00``Quantum Algebra & Quantum Topology Seminar - Marcel Bischoff``Title: Hopf algebra actions in tensor categories Speaker: Marcel Bischoff (Ohio University) Abstract: We prove that commutative algebras in braided tensor categories do not admit faithful Hopf algebra actions unless they come from group actions. We also show that a group action allows us to see the algebra as the regular algebra in the representation category of the acting group. Seminar URL: https://www.coreyjonesmath.com/qaqt-seminar-osu``Cockins Hall 240``OSU ASC Drupal 8``ascwebservices@osu.edu``America/New_York``public`Date Range

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`2019-01-08 13:50:00``2019-01-08 14:50:00``Quantum Algebra & Quantum Topology Seminar - Marcel Bischoff``Title: Hopf algebra actions in tensor categories Speaker: Marcel Bischoff (Ohio University) Abstract: We prove that commutative algebras in braided tensor categories do not admit faithful Hopf algebra actions unless they come from group actions. We also show that a group action allows us to see the algebra as the regular algebra in the representation category of the acting group. Seminar URL: https://www.coreyjonesmath.com/qaqt-seminar-osu``Cockins Hall 240``Department of Mathematics``math@osu.edu``America/New_York``public`Description

**Title**: Hopf algebra actions in tensor categories

**Speaker**: Marcel Bischoff (Ohio University)

**Abstract**: We prove that commutative algebras in braided tensor categories do not admit faithful Hopf algebra actions unless they come from group actions. We also show that a group action allows us to see the algebra as the regular algebra in the representation category of the acting group.

**Seminar URL**: https://www.coreyjonesmath.com/qaqt-seminar-osu