#### Vol. 13, No. 4, 2020

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

### Alexia Gourley and Christopher Kennedy

Vol. 13 (2020), No. 4, 541–550
##### Abstract

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

##### Keywords
structure constants, universal enveloping algebra, nonassociative algebra, Lie algebras
Primary: 17B05