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arXiv · 2504.14647

Deformations of the five dimensional Heisenberg Lie algebra

Alice Fialowski·Ashis Mandal
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Abstract

In this note we explicitly give all the equivalent classes of deformations of the 5-dimensional Heisenberg Lie algebra $\mathfrak{h}_2$ 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.

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Alice Fialowski, Ashis Mandal. 2025-04-20. Deformations of the five dimensional Heisenberg Lie algebra. https://arxiv.org/abs/2504.14647

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