In this paper nondegenerate multidimensional matrices of boundary format in V0 ⊗ ... ⊗ Vp are investigated by their link with Steiner vector bundles on product of projective spaces. For any nondegenerate matrix A the stabilizer for the SL(V0) x ... x SL(Vp)-action, Stab(A), is completely described. In particular we prove that there exists an explicit action of SL(2) on V0 ⊗ ... ⊗ Vp such that Stab(A)0 ⊆ SL(2) and the equality holds if and only if A belongs to a unique SL(V0) x ... x SL(Vp)-orbit containing the identity matrices, according to [1].
@article{urn:eudml:doc:44448,
title = {Stabilizers for nondegenerate matrices of boundary format and Steiner bundles.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {17},
year = {2004},
pages = {459-469},
zbl = {1068.14019},
mrnumber = {MR2083965},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44448}
}
Dionisi, Carla. Stabilizers for nondegenerate matrices of boundary format and Steiner bundles.. Revista Matemática de la Universidad Complutense de Madrid, Tome 17 (2004) pp. 459-469. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44448/