BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Fabio Calderón Mateus (Universidad de los Andes) DTSTART:20240620T130000Z DTEND:20240620T140000Z DTSTAMP:20260423T021151Z UID:EQuAL/27 DESCRIPTION:Title: C lassification of graded Hopf algebra quotients\nby Fabio Calderón Mat eus (Universidad de los Andes) as part of European Quantum Algebra Lecture s (EQuAL)\n\n\nAbstract\nLet $G$ be a group. A Hopf algebra $H$ is called $G$-graded if $H$ is $G$-graded as an algebra\, and the grading is compati ble with the comultiplication\, counit and antipode. Examples of such Hopf algebras include cocentral extensions of Hopf algebras and the twisted Dr infeld double of groups. In this talk\, we present a classification of Hop f ideals for a $G$-graded (quasi-)Hopf algebra based on the following para metrization: normal subgroups $N$ of $G$\, Hopf ideals in the homogeneous component of the identity $H_e$ that are invariant under $N$\, and $G$-equ ivariant trivializations of a specific quotient constructed with these par ameters. This approach incorporates ideas from earlier work by César Gali ndo and Corey Jones\, who parameterized all fusion subcategories arising f rom equivariantization through a group action on a fusion category. Howeve r\, in our results\, the Hopf algebras are not necessarily semisimple\, an d $G$ is not necessarily finite. This talk is based on ongoing joint work with César Galindo.\n LOCATION:https://researchseminars.org/talk/EQuAL/27/ END:VEVENT END:VCALENDAR