Geodesic
Group Gradings on Associative Algebras with Involution
Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 182-194

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

DOI

In this paper we describe the group gradings by a finite abelian group $G$ of the matrix algebra ${{M}_{n}}(F)$ over an algebraically closed field $F$ of characteristic different from 2, which respect an involution (involution gradings). We also describe, under somewhat heavier restrictions on the base field, all $G$ -gradings on all finite-dimensional involution simple algebras.
DOI : 10.4153/CMB-2008-020-7
Mots-clés : 16W10, 16W50 
Bahturin, Y. A.; Giambruno, A. Group Gradings on Associative Algebras with Involution. Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 182-194. doi: 10.4153/CMB-2008-020-7
@article{10_4153_CMB_2008_020_7,
     author = {Bahturin, Y. A. and Giambruno, A.},
     title = {Group {Gradings} on {Associative} {Algebras} with {Involution}},
     journal = {Canadian mathematical bulletin},
     pages = {182--194},
     year = {2008},
     volume = {51},
     number = {2},
     doi = {10.4153/CMB-2008-020-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-020-7/}
}
TY  - JOUR
AU  - Bahturin, Y. A.
AU  - Giambruno, A.
TI  - Group Gradings on Associative Algebras with Involution
JO  - Canadian mathematical bulletin
PY  - 2008
SP  - 182
EP  - 194
VL  - 51
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-020-7/
DO  - 10.4153/CMB-2008-020-7
ID  - 10_4153_CMB_2008_020_7
ER  - 
%0 Journal Article
%A Bahturin, Y. A.
%A Giambruno, A.
%T Group Gradings on Associative Algebras with Involution
%J Canadian mathematical bulletin
%D 2008
%P 182-194
%V 51
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-020-7/
%R 10.4153/CMB-2008-020-7
%F 10_4153_CMB_2008_020_7

Cité par Sources :