When Polarizations Generate

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When Polarizations Generate

Let G be a reductive complex algebraic group and V a finitedimensional G-module. From elements of the invariant algebra C[V ] we obtain by polarization elements of C[V ⊕ V ]. The question we treat is whether or not these polarizations generate C[V ⊕V ]. Our main result is the classification of the irreducible modules V for the simple groups G with the property that polarizations generate C[V ⊕ ...

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ژورنال

عنوان ژورنال: Transformation Groups

سال: 2007

ISSN: 1083-4362,1531-586X

DOI: 10.1007/s00031-006-0044-1