Lie algebras MOC

Module over a Lie algebra

A module over a Lie algebra or -module is an abuse of terminology for a vector space carrying a Lie algebra representation.¹ lie The actual module being invoked is one over the Universal enveloping algebra of the Lie algebra.

See also

• When one talks of a tensor product of such modules, one usually means the Tensor product of Lie algebra representations.

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Footnotes

1. See 1988, Vertex operator algebras and the Monster, pp. 5–6 for an example of this usage. ↩