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
id I19-R120-10915-132328
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Nichols algebra
Hopf algebra
Rack
Finite group of Lie type
Conjugacy class
spellingShingle Ciencias Exactas
Matemática
Nichols algebra
Hopf algebra
Rack
Finite group of Lie type
Conjugacy class
Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV : Unipotent Classes in Chevalley and Steinberg Groups
topic_facet Ciencias Exactas
Matemática
Nichols algebra
Hopf algebra
Rack
Finite group of Lie type
Conjugacy class
description 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).
format Articulo
Preprint
author Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
author_facet Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
author_sort Andruskiewitsch, Nicolás
title Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV : Unipotent Classes in Chevalley and Steinberg Groups
title_short Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV : Unipotent Classes in Chevalley and Steinberg Groups
title_full Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV : Unipotent Classes in Chevalley and Steinberg Groups
title_fullStr Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV : Unipotent Classes in Chevalley and Steinberg Groups
title_full_unstemmed Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV : Unipotent Classes in Chevalley and Steinberg Groups
title_sort finite-dimensional pointed hopf algebras over finite simple groups of lie type iv : unipotent classes in chevalley and steinberg groups
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/132328
work_keys_str_mv AT andruskiewitschnicolas finitedimensionalpointedhopfalgebrasoverfinitesimplegroupsoflietypeivunipotentclassesinchevalleyandsteinberggroups
AT carnovalegiovanna finitedimensionalpointedhopfalgebrasoverfinitesimplegroupsoflietypeivunipotentclassesinchevalleyandsteinberggroups
AT garciagastonandres finitedimensionalpointedhopfalgebrasoverfinitesimplegroupsoflietypeivunipotentclassesinchevalleyandsteinberggroups
bdutipo_str Repositorios
_version_ 1764820456327610369

Ejemplares similares