Tensor products of direct sums

Bogdan C. Grecu; Raymond A. Ryan

doi:10.1007/BF02383617

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Home > Journals > Ark. Mat. > Volume 43 > Issue 1 > Article

April 2005 Tensor products of direct sums

Bogdan C. Grecu, Raymond A. Ryan

Author Affiliations +

Bogdan C. Grecu,¹ Raymond A. Ryan¹
¹Mathematics Department, National University of Ireland

Ark. Mat. 43(1): 167-180 (April 2005). DOI: 10.1007/BF02383617

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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.