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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cohomology of nilpotent subalgebras of affine Lie algebras
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by A. Fialowski PDF
Proc. Amer. Math. Soc. 122 (1994), 71-77 Request permission

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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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 122 (1994), 71-77
  • MSC: Primary 17B56
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1198456-X
  • MathSciNet review: 1198456