Structure Constant Formulas for the Universal Enveloping Algebras of the Nilpotent Lie Algebras of Dimension Five and Less

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Hauptverfasser: Chamberlin, Samuel, Taylor, Emmerson
Format: Preprint
Veröffentlicht: 2026
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author Chamberlin, Samuel
Taylor, Emmerson
author_facet Chamberlin, Samuel
Taylor, Emmerson
contents Libor Šnobl and Pavel Winternitz classified all of the Lie algebras of dimension six and smaller. Using this classification, we formulated and proved structure constant formulas for the universal enveloping algebras of the nilpotent Lie algebras of dimension five and less.
format Preprint
id arxiv_https___arxiv_org_abs_2603_24794
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Structure Constant Formulas for the Universal Enveloping Algebras of the Nilpotent Lie Algebras of Dimension Five and Less
Chamberlin, Samuel
Taylor, Emmerson
Rings and Algebras
Representation Theory
17BXX
Libor Šnobl and Pavel Winternitz classified all of the Lie algebras of dimension six and smaller. Using this classification, we formulated and proved structure constant formulas for the universal enveloping algebras of the nilpotent Lie algebras of dimension five and less.
title Structure Constant Formulas for the Universal Enveloping Algebras of the Nilpotent Lie Algebras of Dimension Five and Less
topic Rings and Algebras
Representation Theory
17BXX
url https://arxiv.org/abs/2603.24794