Structure constants of $su(2S+1)$ algebra and the decomplexification of the Liouville-von Neumann equation

TL;DR

This paper derives explicit formulas for the structure constants of the $su(2S+1)$ algebra using $3jm$ and $6j$ symbols, facilitating the decomplexification of the Liouville-von Neumann equation.

Contribution

It provides new analytic formulas for $su(2S+1)$ structure constants expressed via $su(2)$ symbols, aiding quantum algebra computations.

Findings

Explicit formulas for $su(2S+1)$ structure constants derived.

Formulas expressed in terms of $3jm$ and $6j$ symbols.

Facilitates decomplexification of the Liouville-von Neumann equation.

Abstract

he analytic formulas for structure constants of $su(2S+1)$ algebra in terms of $3jm$ and $6j$ symbols of $su(2)$ have been derived for the decomplexification of the Liouville-von Neumann equation.