Treffer: Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type V : Mixed classes in Chevalley and Steinberg groups
Title:
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type V : Mixed classes in Chevalley and Steinberg groups
Publication Year:
2021
Collection:
Universidad Nacional de La Plata (UNLP): SeDiCI (Servicio de Difusión de la Creación Intelectual)
Subject Terms:
Document Type:
Fachzeitschrift
article in journal/newspaper
File Description:
application/pdf; 605-647
Language:
English
Availability:
Rights:
http://creativecommons.org/licenses/by/4.0/ ; Creative Commons Attribution 4.0 International (CC BY 4.0)
Accession Number:
edsbas.D3C99071
Database:
BASE
Weitere Informationen
We show that all classes that are neither semisimple nor unipotent in finite simple Chevalley or Steinberg groups different from PSLₙ(q) collapse (i.e. are never the support of a finite-dimensional Nichols algebra). As a consequence, we prove that the only finite-dimensional pointed Hopf algebra whose group of group-like elements is PSp₂ₙ(q), PΩ⁺₄ₙ, PΩ⁻₄ₙ, ³D₄(q), E₇(q), E₈(q), F₄(q), or G₂(q) with q even is the group algebra. ; Facultad de Ciencias Exactas