Geodesic
Groups Preserving a Class of Bilinear Functions
Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 267-271

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

DOI

Given a finite dimensional Euclidean vector space V, ( , ) and an involution τ of V, one can form the bilinear function ( , )τ defined by (x, y)τ = (τ(x), y), x,y ∊ V.Let O(τ) = {φ ∊ GL(V)|(φx, φy)τ = (x, y)τ}.If t is self-adjoint the structure of O(t) is well known. The purpose of this paper is to detemine the structure of O(t) in the general case. This structure is also determined in the complex and quaternionic case, as well as the case when the condition on t is replaced by τ2 = ∊ι, ∊ ∈ R.
DOI : 10.4153/CMB-1985-032-7
Mots-clés : 15A63, 22E15 
Greub, W. H.; Malzan, J.; Vanstone, J. R. Groups Preserving a Class of Bilinear Functions. Canadian mathematical bulletin, Tome 28 (1985) no. 3, pp. 267-271. doi: 10.4153/CMB-1985-032-7
@article{10_4153_CMB_1985_032_7,
     author = {Greub, W. H. and Malzan, J. and Vanstone, J. R.},
     title = {Groups {Preserving} a {Class} of {Bilinear} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {267--271},
     year = {1985},
     volume = {28},
     number = {3},
     doi = {10.4153/CMB-1985-032-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-032-7/}
}
TY  - JOUR
AU  - Greub, W. H.
AU  - Malzan, J.
AU  - Vanstone, J. R.
TI  - Groups Preserving a Class of Bilinear Functions
JO  - Canadian mathematical bulletin
PY  - 1985
SP  - 267
EP  - 271
VL  - 28
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-032-7/
DO  - 10.4153/CMB-1985-032-7
ID  - 10_4153_CMB_1985_032_7
ER  - 
%0 Journal Article
%A Greub, W. H.
%A Malzan, J.
%A Vanstone, J. R.
%T Groups Preserving a Class of Bilinear Functions
%J Canadian mathematical bulletin
%D 1985
%P 267-271
%V 28
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-032-7/
%R 10.4153/CMB-1985-032-7
%F 10_4153_CMB_1985_032_7

Cité par Sources :