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


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.


Special Kind Invariant Subspace Proper Invariant Subspace Irreducible Subalgebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Nicola Zanichelli Editore 1961

Authors and Affiliations

  • Yosio Muto
    • 1
  1. 1.YokohamaJapan

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