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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Representations of solvable Lie algebras. IV. An elementary proof of the $(U/P)_{E}$-structure theorem
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by J. C. McConnell PDF
Proc. Amer. Math. Soc. 64 (1977), 8-12 Request permission

Abstract:

In this paper we give a shorter and much more elementary proof of a theorem which describes the structure of certain localisations of the enveloping algebra of a completely solvable Lie algebra. Such a localisation is shown to be a twisted group algebra where the group is free abelian of finite rank and the coefficient ring is a polynomial extension of a Weyl algebra.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 64 (1977), 8-12
  • MSC: Primary 17B30
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0453831-3
  • MathSciNet review: 0453831