About: Integrable module

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In algebra, an integrable module (or integrable representation) of a Kac–Moody algebra (a certain infinite-dimensional Lie algebra) is a representation of such that (1) it is a sum of weight spaces and (2) the Chevalley generators of are . For example, the adjoint representation of a Kac–Moody algebra is integrable.

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  • In algebra, an integrable module (or integrable representation) of a Kac–Moody algebra (a certain infinite-dimensional Lie algebra) is a representation of such that (1) it is a sum of weight spaces and (2) the Chevalley generators of are . For example, the adjoint representation of a Kac–Moody algebra is integrable. (en)
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  • In algebra, an integrable module (or integrable representation) of a Kac–Moody algebra (a certain infinite-dimensional Lie algebra) is a representation of such that (1) it is a sum of weight spaces and (2) the Chevalley generators of are . For example, the adjoint representation of a Kac–Moody algebra is integrable. (en)
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  • Integrable module (en)
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