# Stabilizers for nondegenerate matrices of boundary format and Steiner bundles.

Revista Matemática Complutense (2004)

- Volume: 17, Issue: 2, page 459-469
- ISSN: 1139-1138

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topDionisi, Carla. "Stabilizers for nondegenerate matrices of boundary format and Steiner bundles.." Revista Matemática Complutense 17.2 (2004): 459-469. <http://eudml.org/doc/44448>.

@article{Dionisi2004,

abstract = {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].},

author = {Dionisi, Carla},

journal = {Revista Matemática Complutense},

keywords = {Espacios y haces de fibras; Teoría de matrices; Hipersuperficies; Invariantes; Haces vectoriales; vector bundles; multidimensional matrices; theory of invariants},

language = {eng},

number = {2},

pages = {459-469},

title = {Stabilizers for nondegenerate matrices of boundary format and Steiner bundles.},

url = {http://eudml.org/doc/44448},

volume = {17},

year = {2004},

}

TY - JOUR

AU - Dionisi, Carla

TI - Stabilizers for nondegenerate matrices of boundary format and Steiner bundles.

JO - Revista Matemática Complutense

PY - 2004

VL - 17

IS - 2

SP - 459

EP - 469

AB - 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].

LA - eng

KW - Espacios y haces de fibras; Teoría de matrices; Hipersuperficies; Invariantes; Haces vectoriales; vector bundles; multidimensional matrices; theory of invariants

UR - http://eudml.org/doc/44448

ER -

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