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Algebra and Geometry Seminar: An invitation to Nichols algebras

Author: Lona | Image: Lona

Speaker: Guillermo Sanmarco (ISU)

Nichols algebras of diagonal type are generalizations of (positive parts) of small quantum groups that play a crucial role in the classification of finite-dimensional pointed Hopf algebras with abelian group of group-likes. Remarkably, many combinatorial tools of quantum groups were extended to this setting which led to the classification of such Nichols algebras. In this talk, we will introduce these tools through examples and show several recent developments in the theory of Nichols algebras.