Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV : Unipotent Classes in Chevalley and Steinberg Groups

We show that all unipotent classes in finite simple Chevalley or Steinberg groups, different from PSLₙ(q) and PSp₂ₙ(q), collapse (i.e. are never the support of a finite-dimensional Nichols algebra), with a possible exception on one class of involutions in PSUₙ(2ᵐ).

Guardado en:
Detalles Bibliográficos
Autores principales: Andruskiewitsch, Nicolás, Carnovale, Giovanna, García, Gastón Andrés
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2020
Materias:
Ciencias Exactas
Matemática
Nichols algebra
Hopf algebra
Rack
Finite group of Lie type
Conjugacy class
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132328
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario:We show that all unipotent classes in finite simple Chevalley or Steinberg groups, different from PSLₙ(q) and PSp₂ₙ(q), collapse (i.e. are never the support of a finite-dimensional Nichols algebra), with a possible exception on one class of involutions in PSUₙ(2ᵐ).

Ejemplares similares