Deformations of the five dimensional Heisenberg Lie algebra
Quantum Algebra
2025-04-22 v1 K-Theory and Homology
Abstract
In this note we explicitly give all the equivalent classes of deformations of the 5-dimensional Heisenberg Lie algebra over complex or real number fields. We show that there are altogether 20 infinitesimal deformations (families), 18 of them being extendable to real deformations and 2 of them are only infinitesimal.
Keywords
Cite
@article{arxiv.2504.14647,
title = {Deformations of the five dimensional Heisenberg Lie algebra},
author = {Alice Fialowski and Ashis Mandal},
journal= {arXiv preprint arXiv:2504.14647},
year = {2025}
}
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9 pages