Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II : Unipotent classes in symplectic groups

dc.creatorAndruskiewitsch, Nicolás
dc.creatorCarnovale, Giovanna
dc.creatorGarcía, Gastón Andrés
dc.date2016
dc.date2021-12-09T17:51:52Z
dc.date.accessioned2023-07-15T04:16:26Z
dc.date.available2023-07-15T04:16:26Z
dc.identifierhttp://sedici.unlp.edu.ar/handle/10915/129363
dc.identifierissn:0219-1997
dc.identifierissn:1793-6683
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7468920
dc.descriptionWe show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective symplectic linear group over a finite field, corresponding to unipotent orbits, have infinite dimension. We give a criterion to deal with unipotent classes of general finite simple groups of Lie type and apply it to regular classes in Chevalley and Steinberg groups.
dc.descriptionFacultad de Ciencias Exactas
dc.formatapplication/pdf
dc.languageen
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rightsCreative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subjectMatemática
dc.subjectNichols algebra
dc.subjectHopf algebra
dc.subjectRack
dc.subjectFinite group of Lie type
dc.subjectConjugacy class
dc.titleFinite-dimensional pointed Hopf algebras over finite simple groups of Lie type II : Unipotent classes in symplectic groups
dc.typeArticulo
dc.typePreprint


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