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Maximal Jordan algebras of matrices with bounded number of eigenvalues

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Abstract

We consider maximal Jordan algebras of matrices with bounded number of eigenvalues. Up to simultaneous similarity we list all irreducible algebras of that kind, and we also give a list of some reducible such algebras. We also study automorphisms of Jordan algebras of matrices.

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Computing Science, Dalhousie University, B3H 3J5, Halifar, Nova Scotia, Canada

    L. Grunenfelder

  2. Department of Mathematics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia

    T. Košir & M. Omladič

  3. Department of Mathematics, Statistics and Computing Science, Dalhousie University, B3H 3J5, Halifar, Nova Scotia, Canada

    H. Radjavi

Authors
  1. L. Grunenfelder
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  2. T. Košir
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  3. M. Omladič
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  4. H. Radjavi
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Additional information

Research supported in part by the NSERC of Canada and by the Ministry of Science and Technology of Slovenia.

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Grunenfelder, L., Košir, T., Omladič, M. et al. Maximal Jordan algebras of matrices with bounded number of eigenvalues. Isr. J. Math. 128, 53–75 (2002). https://doi.org/10.1007/BF02785418

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  • DOI: https://doi.org/10.1007/BF02785418

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