Session S16 - Quantum symmetries

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Partial (co)actions of Taft and Nichols Hopf algebras on their base fields

Leonardo Silva

Universidade Federal de Santa Maria, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Using the method developed in [1] to compute partial actions of a given Hopf algebra on its base field, in this paper we determine all partial actions and partial coactions of Taft and Nichols Hopf algebras on their base fields. Furthermore, we prove that all such partial (co)actions are symmetric. These results are developed in [2].

[1] G. Martini, A. Paques and L. Silva. Deformations of Hopf algebras by partial actions, arXiv e-prints (2020), arXiv:2009.08540

[2] G. Fonseca, G. Martini and L. Silva. Classifying partial (co)actions of Taft and Nichols Hopf algebras on their base fields, arXiv e-prints (2020), arXiv:2012.04106

Joint work with Grasiela Martini (Universidade Federal do Rio Grande, Brazil) and Graziela Fonseca (Instituto Federal Sul Rio-Grandense, Brazil).

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