Deformations of the five dimensional Heisenberg Lie algebra

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 2025Embargo end date: 01 Jan 2025 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 66 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Alice Fialowski; Ashis Mandal;

doi: 10.1063/5.0249860 , 10.48550/arxiv.2504.14647

arXiv: 2504.14647

Deformations of the five dimensional Heisenberg Lie algebra

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Abstract

In this note we explicitly give all the equivalent classes of deformations of the five-dimensional Heisenberg Lie algebra h2 over C or R. 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.

Related Organizations

Eötvös Loránd University
Hungary

Keywords

Quantum theory, Mathematics - Quantum Algebra, Mathematics - K-Theory and Homology, FOS: Mathematics, Quantum Algebra (math.QA), 17B56, B81, B99, K-Theory and Homology (math.KT), Partial differential equations

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