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