# When Polarizations Generate

Authors
Type
Preprint
Publication Date
Sep 18, 2006
Submission Date
Sep 03, 2006
Identifiers
arXiv ID: math/0609078
Source
arXiv
Unknown

## Abstract

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.

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