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GEOMETRIC METHODS IN BRAIDED VECTOR SPACES AND THEIR NICHOLS ALGEBRAS
- Speaker(s)
- EHUD MEIR
- Affiliation
- University of Aberdeen, Scotland
- Date
- Dec. 13, 2023, 5:15 p.m.
- Information about the event
- 405 IMPAN & ZOOM
- Seminar
- North Atlantic Noncommutative Geometry Seminar
The Nichols algebra of a braided vector space is a generalization of both the symmetric algebra and the exterior algebra. It can be realized as a Hopf algebra in some braided monoidal category. By the process of bosonization, Nichols algebras provide an abundance of examples of finite-dimensional non-semisimple Hopf algebras. This raises the question of the finite-dimensionality of Nichols algebras. In this talk, I will explain how to prove that certain Nichols algebras are infinite dimensional by using geometric methods, in particular, reductive-group actions. This is based on a joint work with István Heckenberger and Leandro Vendramin.
