Geodesic
Twisted algebras of geometric algebras
Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 715-730

Voir la notice de l'article provenant de la source Cambridge

DOI

A twisting system is one of the major tools to study graded algebras; however, it is often difficult to construct a (nonalgebraic) twisting system if a graded algebra is given by generators and relations. In this paper, we show that a twisted algebra of a geometric algebra is determined by a certain automorphism of its point variety. As an application, we classify twisted algebras of three-dimensional geometric Artin–Schelter regular algebras up to graded algebra isomorphism.
DOI : 10.4153/S0008439522000649
Mots-clés : Twisting systems, twisted algebras, geometric algebras, AS-regular algebras 
Matsuno, Masaki. Twisted algebras of geometric algebras. Canadian mathematical bulletin, Tome 66 (2023) no. 3, pp. 715-730. doi: 10.4153/S0008439522000649
@article{10_4153_S0008439522000649,
     author = {Matsuno, Masaki},
     title = {Twisted algebras of geometric algebras},
     journal = {Canadian mathematical bulletin},
     pages = {715--730},
     year = {2023},
     volume = {66},
     number = {3},
     doi = {10.4153/S0008439522000649},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000649/}
}
TY  - JOUR
AU  - Matsuno, Masaki
TI  - Twisted algebras of geometric algebras
JO  - Canadian mathematical bulletin
PY  - 2023
SP  - 715
EP  - 730
VL  - 66
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000649/
DO  - 10.4153/S0008439522000649
ID  - 10_4153_S0008439522000649
ER  - 
%0 Journal Article
%A Matsuno, Masaki
%T Twisted algebras of geometric algebras
%J Canadian mathematical bulletin
%D 2023
%P 715-730
%V 66
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000649/
%R 10.4153/S0008439522000649
%F 10_4153_S0008439522000649

Cité par Sources :