Structure constants of 𝒰(𝔰𝔩2)

Gourley, Alexia; Kennedy, Christopher

doi:10.2140/involve.2020.13.541

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Structure constants of $\mathcal{U}(\mathfrak{sl}_2)$

Alexia Gourley and Christopher Kennedy

Vol. 13 (2020), No. 4, 541–550

DOI: 10.2140/involve.2020.13.541

Abstract

We derive a recursive formula for the structure constants for the universal enveloping algebra of ${𝔰 𝔩}_{2} (𝕂)$ , where $𝕂$ is an algebraically closed field of characteristic zero.

Keywords

structure constants, universal enveloping algebra, nonassociative algebra, Lie algebras

Mathematical Subject Classification 2010

Primary: 17B05

Milestones

Received: 3 June 2013

Revised: 13 November 2013

Accepted: 6 August 2020

Published: 20 November 2020

Communicated by Joseph A. Gallian

Authors

Alexia Gourley
Department of Statistics George Mason University Fairfax, VA United States

Christopher Kennedy
Department of Mathematics Christopher Newport University Newport News, VA United States

Vol. 13, No. 4, 2020