Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : à distance / remote
Adresse :IHP

Depuis le 23 mars 2020, le séminaire se tient à distance. Pour les liens et mots de passe, merci de contacter l'un des organisateurs ou de souscrire à la liste de diffusion https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. L'information nécessaire sera envoyée par courrier électronique peu avant chaque exposé. Les notes et transparents sont disponibles ici.


Since March 23, 2020, the seminar has been taking place remotely. For the links and passwords, please contact one of the organizers or

subscribe to the mailing list at https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. The connexion information will be emailed shortly before each talk. Slides and notes are available here.


Orateur(s) Fernando FANTINO - Paris,
Titre Nichols algebras and pointed Hopf algebras over non-abelian groups
Horaire14:00 à 15:00
RésumeNichols algebras play a crucial rôle in the classification of finite-dimensional complex pointed Hopf algebras in the context of Lifting method given by Andruskiewitsch and Schneider. These authors have obtained the classification when the group-likes form an abelian group whose order is relatively prime to 210 ('05). This talk is based on a series of articles concerned with the non-abelian case. I will describe a strategy to approach the classification by means of Nichols algebras coming from a rack and a 2-cocycle. I will show some criteria to decide the dimension of these Nichols algebras and I will presented a list of the results obtained for some families of non-abelian groups. [1] N. Andruskiewitsch, F. Fantino, M. Graña and L. Vendramin, ``Finite-dimensional pointed Hopf algebras with alternating groups are trivial'', Ann. Mat. Pura Appl. (4) 190 2 (2011) 225-245. [2] N. Andruskiewitsch, F. Fantino, M. Graña and L. Vendramin, ``Pointed Hopf algebras over the sporadic simple groups'', J. Algebra 325 1 (2011) 305-320. [3] F. Fantino and G. A. García, ``On pointed Hopf algebras over dihedral groups'', Pacific J. Math., 252 1 (2011), 69-91.
Salleà distance / remote