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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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Homology of the completion of a Lie algebra
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by Yves Félix and Aniceto Murillo PDF
Proc. Amer. Math. Soc. 150 (2022), 95-103 Request permission

Abstract:

We prove that the second homology group of the completion of an infinite dimensional free Lie algebra is uncountable.
References
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Additional Information
  • Yves Félix
  • Affiliation: Institut de Mathématiques et Physique, Université Catholique de Louvain, Chemin du Cyclotron 2, 1348 Louvain-la-Neuve, Belgium
  • Email: yves.felix@uclouvain.be
  • Aniceto Murillo
  • Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29080 Málaga, Spain
  • MR Author ID: 294447
  • ORCID: 0000-0002-2681-274X
  • Email: aniceto@uma.es
  • Received by editor(s): April 13, 2021
  • Received by editor(s) in revised form: April 17, 2021, and April 27, 2021
  • Published electronically: October 20, 2021
  • Additional Notes: This work was supported by the Spanish government grant PID2020-118753GB-100
  • Communicated by: Julie Bergner
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 150 (2022), 95-103
  • MSC (2020): Primary 17B55, 55P62
  • DOI: https://doi.org/10.1090/proc/15647
  • MathSciNet review: 4335860