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Irreducible representations of finite groups

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  • Flodmark, Stig
  • Jansson, Per-Olof

Abstract

The Flodmark-Blokker scheme for finding irreducible representations of finite groups is sufficiently general for treating all little groups of crystallographic space groups. This scheme is generalized in two respects: (a) The case when no element has a non-degenerate eigenvalue, but the group contains a set with commuting matrix representatives for each irreducible representation. (b) The case when any set of commuting irreducible matrix representatives has a common eigenspace with dimension higher than 1, degenerate with respect to the eigenvalues of the set.

Suggested Citation

  • Flodmark, Stig & Jansson, Per-Olof, 1982. "Irreducible representations of finite groups," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 114(1), pages 485-492.
    • Handle: RePEc:eee:phsmap:v:114:y:1982:i:1:p:485-492
    DOI: 10.1016/0378-4371(82)90338-7
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    Cited by:

    1. Neubüser, Joachim, 1982. "Computing with groups and their character tables," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 114(1), pages 493-506.

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