A closed-formula solution to the color-trace decomposition problem
Combinatorics
2020-09-08 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
In these notes we present a closed-formula solution to the problem of decomposing traces of Lie algebra generators into symmetrized traces and structure constants. The solution is written in terms of Solomon idempotents and exploits a projection derived by Solomon in his work on the Poincare-Birkhoff-Witt theorem.
Keywords
Cite
@article{arxiv.2009.02534,
title = {A closed-formula solution to the color-trace decomposition problem},
author = {Ruggero Bandiera and Carlos R. Mafra},
journal= {arXiv preprint arXiv:2009.02534},
year = {2020}
}
Comments
12 pages