Annali di Matematica Pura ed Applicata

, Volume 55, Issue 1, pp 119–131 | Cite as

On some property of an irreducible subalgebra of the general linear Lie algebra gl(n,R)

  • Yosio Muto
Article
  • 17 Downloads

Summary

A subalgebrag ofgl(n, R) which admits no proper invariant subspace in Rn and contains a subalgebra of a special kind is studied. It is concluded that only four cases are possible if n is even, and only two if n is odd.

Keywords

Special Kind Invariant Subspace Proper Invariant Subspace Irreducible Subalgebra 

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Copyright information

© Nicola Zanichelli Editore 1961

Authors and Affiliations

  • Yosio Muto
    • 1
  1. 1.YokohamaJapan

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