Hopf quivers and Nichols algebras in positive characteristic - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2009

Hopf quivers and Nichols algebras in positive characteristic

Résumé

We apply a combinatorial formula of the first author and Rosso, for products in Hopf quiver algebras, to determine the structure of Nichols algebras. We illustrate this technique by explicitly constructing new examples of Nichols algebras in positive characteristic. We further describe the corresponding Radford biproducts and some liftings of these biproducts, which are new finite dimensional pointed Hopf algebras.
Fichier principal
Vignette du fichier
hopfquivers1-22.pdf (196.55 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00356587 , version 1 (27-01-2009)
hal-00356587 , version 2 (01-04-2009)

Identifiants

Citer

Claude Cibils, Aaron Lauve, Sarah Witherspoon. Hopf quivers and Nichols algebras in positive characteristic. 2009. ⟨hal-00356587v1⟩
86 Consultations
454 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More