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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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On the length of the spectral sequence of a Lie algebra extension
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by Donald W. Barnes PDF
Proc. Amer. Math. Soc. 129 (2001), 347-350 Request permission

Abstract:

The length of the spectral sequence of a Lie algebra extension is at most $1+$ the dimension of the quotient algebra. We show that this bound can be attained for arbitrarily large quotient algebras even when the algebra is nilpotent and the extension splits.
References
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Additional Information
  • Donald W. Barnes
  • Affiliation: 1 Little Wonga Road, Cremorne, New South Wales 2090, Australia
  • Email: donb@netspace.net.au
  • Received by editor(s): April 16, 1999
  • Published electronically: August 29, 2000
  • Communicated by: Dan M. Barbasch
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 347-350
  • MSC (1991): Primary 18G40, 17B56
  • DOI: https://doi.org/10.1090/S0002-9939-00-05761-0
  • MathSciNet review: 1800229