Stabilizers for Nondegenerate Matrices of Boundary Format and Steiner Bundles
نویسنده
چکیده
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)×· · ·×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) ⊆ SL(2) and the equality holds if and only if A belongs to a unique SL(V0) × · · · × SL(Vp)-orbit containing the identity matrices, according to [AO].
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