A class of nilpotent Lie algebras whose center acts nontrivially in cohomology
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- by Grant Cairns, Barry Jessup and Yuri Nikolayevsky PDF
- Proc. Amer. Math. Soc. 148 (2020), 1945-1952 Request permission
Abstract:
We show that the central representation is nontrivial for all one-dimensional central extensions of nilpotent Lie algebras possessing a codimension one abelian ideal.References
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Additional Information
- Grant Cairns
- Affiliation: Department of Mathematics and Statistics, La Trobe University, Melbourne, 3086, Australia
- MR Author ID: 44265
- ORCID: 0000-0002-9011-4567
- Email: g.cairns@latrobe.edu.au
- Barry Jessup
- Affiliation: Department of Mathematics and Statistics, University of Ottawa, Ottawa, K1N 6N5, Canada
- MR Author ID: 265531
- Email: barry.jessup@uottawa.ca
- Yuri Nikolayevsky
- Affiliation: Department of Mathematics and Statistics, La Trobe University, Melbourne, 3086, Australia
- MR Author ID: 246384
- ORCID: 0000-0002-9528-1882
- Email: y.nikolayevsky@latrobe.edu.au
- Received by editor(s): May 6, 2019
- Received by editor(s) in revised form: September 22, 2019
- Published electronically: January 15, 2020
- Additional Notes: This research was supported in part by NSERC and in part by ARC Discovery grant DP130103485
- Communicated by: Sarah Witherspoon
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 1945-1952
- MSC (2010): Primary 17B56, 17B30
- DOI: https://doi.org/10.1090/proc/14890
- MathSciNet review: 4078079