Geodesic
Non-Isomorphic Equivalent Azumaya Algebras
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 340-343

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

DOI

We explicitly describe an infinite collection of pairs of Azumaya algebras over the ring of integers of real quadratic number fields K which are maximal orders in the usual quaternion algebra over K, hence Brauer equivalent, but are not isomorphic. The result follows from an identification of the groups of norm one units, using the classification of Coxeter.
DOI : 10.4153/CMB-1987-048-8
Mots-clés : 16A16, 16A18 
Childs, Lindsay N. Non-Isomorphic Equivalent Azumaya Algebras. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 340-343. doi: 10.4153/CMB-1987-048-8
@article{10_4153_CMB_1987_048_8,
     author = {Childs, Lindsay N.},
     title = {Non-Isomorphic {Equivalent} {Azumaya} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {340--343},
     year = {1987},
     volume = {30},
     number = {3},
     doi = {10.4153/CMB-1987-048-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-048-8/}
}
TY  - JOUR
AU  - Childs, Lindsay N.
TI  - Non-Isomorphic Equivalent Azumaya Algebras
JO  - Canadian mathematical bulletin
PY  - 1987
SP  - 340
EP  - 343
VL  - 30
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-048-8/
DO  - 10.4153/CMB-1987-048-8
ID  - 10_4153_CMB_1987_048_8
ER  - 
%0 Journal Article
%A Childs, Lindsay N.
%T Non-Isomorphic Equivalent Azumaya Algebras
%J Canadian mathematical bulletin
%D 1987
%P 340-343
%V 30
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-048-8/
%R 10.4153/CMB-1987-048-8
%F 10_4153_CMB_1987_048_8

Cité par Sources :