A New Family of Irreducible Representations of An
Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 543-546

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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.
A New Family of Irreducible Representations of An. Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 543-546. doi: 10.4153/CMB-1975-098-4
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