Tensor products of direct sums

Bogdan C. Grecu; Raymond A. Ryan

doi:10.1007/BF02383617

Tensor products of direct sums

Bogdan C. Grecu, Raymond A. Ryan

Mathematics

University of Galway

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

A similar formula to the one established by Ansemil and Floret for symmetric tensor products of direct sums is proved for alternating and Jacobian tensor products. It is then applied to stable spaces where a number of isomorphisms between spaces of tensors or multilinear forms are unveiled. A connection between these problems and irreducible group representations is made.

Original language	English
Pages (from-to)	167-180
Number of pages	14
Journal	Arkiv for Matematik
Volume	43
Issue number	1
DOIs	https://doi.org/10.1007/BF02383617
Publication status	Published - Apr 2005

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AB - A similar formula to the one established by Ansemil and Floret for symmetric tensor products of direct sums is proved for alternating and Jacobian tensor products. It is then applied to stable spaces where a number of isomorphisms between spaces of tensors or multilinear forms are unveiled. A connection between these problems and irreducible group representations is made.

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Tensor products of direct sums

Abstract

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