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A New Family of Irreducible Representations of An
Published online by Cambridge University Press: 20 November 2018
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For a simple Lie algebra L over the complex numbers ℂ all irreducible representations admitting a highest weight have been constructed and characterized for example in [3, 6]. In [1] Bouwer considered the family of all irreducible representations of L admitting at least one one-dimensional weight space (this includes, of course, all those having a highest weight space) and showed, by construction, that this is a strictly larger class of representations.
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- Copyright © Canadian Mathematical Society 1975
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