Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602764 | Linear Algebra and its Applications | 2008 | 12 Pages |
Abstract
Let n be a positive, even integer and let Kn(F) denote the subspace of skew-symmetric matrices of Mn(F), the full matrix algebra with coefficients in a field F. A theorem of Kostant states that Kn(F) satisfies the (2n-2)-fold standard identity s2n-2. In this paper we refine this result by showing that s2n-2 may be written non-trivially as the sum of two polynomial identities of Kn(F).
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