Arkiv för Matematik

, Volume 43, Issue 1, pp 167–180

Tensor products of direct sums

  • Bogdan C. Grecu
  • Raymond A. Ryan

DOI: 10.1007/BF02383617

Cite this article as:
Grecu, B.C. & Ryan, R.A. Ark. Mat. (2005) 43: 167. doi:10.1007/BF02383617


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.

Copyright information

© Institut Mittag-Leffler 2005

Authors and Affiliations

  • Bogdan C. Grecu
    • 1
  • Raymond A. Ryan
    • 2
  1. 1.Mathematics DepartmentNational University of IrelandGalwayIreland
  2. 2.Mathematics DepartmentNational University of IrelandGalwayIreland