On universal gradings, versal gradings and Schurian generated categories
Claude Cibils
- Fonction : Auteur
- PersonId : 768009
- IdHAL : claude-cibils
- ORCID : 0000-0003-3269-9525
- IdRef : 068634005
Maria Julia Redondo
- Fonction : Auteur
Résumé
Categories over a field $k$ can be graded by different groups in a connected way; we consider morphisms between these gradings in order to define the fundamental grading group. We prove that this group is isomorphic to the fundamental group á la Grothendieck as considered in previous papers. In case the $k$-category is Schurian generated we prove that a universal grading exists. Examples of non Schurian generated categories with universal grading, versal grading or none of them are considered.
Format du dépôt | Notice |
---|---|
Type de dépôt | Article dans une revue |
Résumé |
en
Categories over a field $k$ can be graded by different groups in a connected way; we consider morphisms between these gradings in order to define the fundamental grading group. We prove that this group is isomorphic to the fundamental group á la Grothendieck as considered in previous papers. In case the $k$-category is Schurian generated we prove that a universal grading exists. Examples of non Schurian generated categories with universal grading, versal grading or none of them are considered.
|
Titre |
en
On universal gradings, versal gradings and Schurian generated categories
|
Auteur(s) |
Claude Cibils
1
, Maria Julia Redondo
, Andrea Solotar
2
1
I3M -
Institut de Mathématiques et de Modélisation de Montpellier
( 631 )
- Case Courrier 051 Place Eugène Bataillon 34095 MONTPELLIER CEDEX 5
- France
2
Departamento de Matemática [Buenos Aires]
( 5918 )
- Ciudad Universitaria - Pabellón I - (C1428EGA) - Buenos Aires
- Argentine
|
Page/Identifiant |
1101-1122
|
Date de production/écriture |
2012-10-15
|
Langue du document |
Anglais
|
Vulgarisation |
Non
|
Comité de lecture |
Oui
|
Audience |
Internationale
|
Date de publication |
2014
|
Volume |
8
|
Numéro |
4
|
Nom de la revue |
|
Domaine(s) |
|
arXiv Id | 1210.4098 |
DOI | 10.4171/JNCG/180 |
Loading...