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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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Deformation theory of contact Lie algebras as double extensions
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by M. A. Alvarez, M. C. Rodríguez-Vallarte and G. Salgado PDF
Proc. Amer. Math. Soc. 149 (2021), 1827-1836 Request permission

Abstract:

The purpose of this work is to completely characterize contact Lie algebras, i.e., linear and quadratic deformations of the Heisenberg Lie algebra, by means of double extensions.
References
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Additional Information
  • M. A. Alvarez
  • Affiliation: Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, Chile
  • Email: maria.alvarez@uantof.cl
  • M. C. Rodríguez-Vallarte
  • Affiliation: Facultad de Ciencias, UASLP, Av. Chapultepec 1570, Priv. del Pedregal, CP 78295, San Luis Potosí, S.L.P., México
  • MR Author ID: 928680
  • Email: carmen.vallarte@uaslp.mx
  • G. Salgado
  • Affiliation: Facultad de Ciencias, UASLP, Av. Chapultepec 1570, Priv. del Pedregal, CP 78295, San Luis Potosí, S.L.P., México
  • MR Author ID: 723863
  • ORCID: 0000-0002-8031-8881
  • Email: gsalgado@fciencias.uaslp.mx, gil.salgado@gmail.com
  • Received by editor(s): September 3, 2019
  • Received by editor(s) in revised form: December 29, 2019
  • Published electronically: February 26, 2021
  • Additional Notes: The first author was supported by MINEDUC-UA project, code ANT 1856 and “Fondo Puente de Investigación de Excelencia” FPI-18-02 from the University of Antofagasta.
    The second and third authors would like to acknowledge the support received by PRODEP Grant UASLP-CA-228 and CONACyT Grant A1-S-45886.
    The third author is the corresponding author.
  • Communicated by: Sarah Witherspoon
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 1827-1836
  • MSC (2020): Primary 17Bxx; Secondary 53D10
  • DOI: https://doi.org/10.1090/proc/15040
  • MathSciNet review: 4232179