On INV Ariant Skew-Tensors

Bertram Kostant ()
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Bertram Kostant: Princeton University, Department of Mathematics

A chapter in Collected Papers, 2009, pp 28-31 from Springer

Abstract: Abstract Throughout this note V will denote a real n-dimensional vector space with a positive-definite inner product, its value for u, v ? V being denoted by (u, v). Let ? p V be the space of contravariant skew-tensors over V of degree p. The inner product in V induces a positive-definite inner product in ? P V, where (u 1 ? … ? u p, v 1 ? … ? v p) = (1/p!) · determinant (u i, v j).

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-387-09583-7_4

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DOI: 10.1007/b94535_4

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