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Proceedings of the American Mathematical Society

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Cohomology of nilpotent subalgebras of affine Lie algebras

Author: A. Fialowski
Journal: Proc. Amer. Math. Soc. 122 (1994), 71-77
MSC: Primary 17B56
MathSciNet review: 1198456
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Abstract: We compute the cohomology of the maximal nilpotent Lie algebra of an affine Lie algebra $ \hat{\mathfrak{g}}$ with coefficients in modules of functions on the circle with values in a representation space of $ \mathfrak{g}$. These modules are not highest weight modules and are somewhat similar to the adjoint representation.

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Keywords: Affine Lie algebra, adjoint representation, Lie algebra cohomology, spectral sequence
Article copyright: © Copyright 1994 American Mathematical Society