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Stabilizers for nondegenerate matrices of boundary format and Steiner bundles.

Carla Dionisi (2004)

Revista Matemática Complutense

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...

Stable cohomology of alternating groups

Fedor Bogomolov, Christian Böhning (2014)

Open Mathematics

We determine the stable cohomology groups ( H S i 𝔄 n , 𝔄 n , p p of the alternating groups 𝔄 n for all integers n and i, and all odd primes p.

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