Stabilizers of the GL-action on tensor and symmetric powers

Authors
Guil-Asensio, F Saorin, M
Citation
F. Guil-asensio et M. Saorin, Stabilizers of the GL-action on tensor and symmetric powers, B SCI MATH, 124(3), 2000, pp. 249-254
Citations number
2
Categorie Soggetti
Mathematics
Journal title
BULLETIN DES SCIENCES MATHEMATIQUES
ISSN journal
00074497 → ACNP
Volume
124
Issue
3
Year of publication
2000
Pages
249 - 254
Database
ISI
SICI code
0007-4497(200004)124:3<249:SOTGOT>2.0.ZU;2-C
Abstract
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. (C) 2000 Editions scientifi ques et medicales Elsevier SAS.