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Existence of Weight Space Decompositions for Irreducible Representations of Simple Lie Algebras

Published online by Cambridge University Press:  20 November 2018

F. W. Lemire
F. W. Lemire*
Affiliation:
University of Windsor, Windsor, Ontario
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Let L denote a finite-dimensional simple Lie algebra over an algebraically closed field K of characteristic zero. It is well known that every finite-dimension 1, irreducible representation of L admits a weight space decomposition; moreover every irreducible representation of L having at least one weight space admits a weight space decomposition.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 1 , January 1971 , pp. 113 - 115
Copyright
Copyright © Canadian Mathematical Society 1971

References

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