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 locally nilpotent.[1] For example, the adjoint representation of a Kac–Moody algebra is integrable.[2]
Notes
References
- Kac, Victor (1990). Infinite dimensional Lie algebras (3rd ed.). Cambridge University Press. ISBN 0-521-46693-8.
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