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math.RT2006
When Polarizations Generate
Gerald W. Schwarz
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…
math.RT2006
Compression of Finite Group Actions and Covariant Dimension
Hanspeter Kraft, Gerald W. Schwarz
Let be a finite group and an equivariant morphism of finite dimensional -modules. We say that is faithful if acts faithfully on . The covarian…
math.DG2006
Homology of equivariant vector fields
Gerald W. Schwarz
Let K be a compact Lie group. We compute the abelianization of the Lie algebra of equivariant vector fields on a smooth K-manifold X. We also compute the abelianization of the Lie…