When Polarizations Generate

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let G be a reductive complex algebraic group and V a finite-dimensional G-module. From elements of the invariant algebra C[V]^G we obtain by polarization elements of C[kV]^G, where k\geq 1 and kV denotes the direct sum of k copies of V. For G simple our main result is the classification of the G-modules V and integers k\geq 2 such that polarizations generate C[kV]^G.
More general results, proofs improved, references added

Keywords

Representation Theory, Group Theory, 14L30, 20C15, 20G20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/116360

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609078
 http://arxiv.org/abs/math/0609078

Collections

arXiv