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On the irreducibility of alternating powers and symmetric squares

✍ Scribed by K. Magaard


Publisher
Springer
Year
1994
Tongue
English
Weight
259 KB
Volume
63
Category
Article
ISSN
0003-889X

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Stabilizers of the GL-action on tensor a
✍ Francisco Guil-Asensio; Manuel Saorin πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 French βš– 63 KB

We fix a finite dimensional vector space and a basis B of V and completely identify the identity component of the stabilizer, under diagonal action by GL(V ), of every subspace of a direct sum of tensor or symmetric powers of V that is generated by powers of elements of B.