Logo image
Home Academic units
Sign in
When polarizations generate
Journal article   Peer reviewed

When polarizations generate

Gerald W Schwarz
Transformation groups, Vol.12(4), pp.761-767
12/01/2007

Abstract

Science & Technology Mathematics Physical Sciences
Let G be a reductive complex algebraic group and V a finite-dimensional G-module. From elements of the invariant algebra C[V](G) stop we obtain, by polarization, elements of C[kV](G) stop, where k >= 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 >= 2 such that polarizations generate C[kV](G) stop.

Metrics

5 Record Views

Details