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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
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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.
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- Copyright © Canadian Mathematical Society 1971
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