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A closed-formula solution to the color-trace decomposition problem

A closed-formula solution to the color-trace decomposition problem
A closed-formula solution to the color-trace decomposition problem
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.
math.CO, hep-ph, hep-th
Bandiera, Ruggero
bddb6435-e5dd-4735-8b77-6e22af6ac00b
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Bandiera, Ruggero
bddb6435-e5dd-4735-8b77-6e22af6ac00b
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01

Bandiera, Ruggero and Mafra, Carlos R. (2020) A closed-formula solution to the color-trace decomposition problem. arXiv.

Record type: Article

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.

Text
2009.02534v1
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More information

Published date: 5 September 2020
Additional Information: 12 pages
Keywords: math.CO, hep-ph, hep-th

Identifiers

Local EPrints ID: 443831
URI: http://eprints.soton.ac.uk/id/eprint/443831
PURE UUID: cf18f8cd-85d8-4a4b-81c9-8708053bb157
ORCID for Carlos R. Mafra: ORCID iD orcid.org/0000-0001-9842-9654

Catalogue record

Date deposited: 14 Sep 2020 16:36
Last modified: 13 Dec 2021 03:12

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Contributors

Author: Ruggero Bandiera
Author: Carlos R. Mafra ORCID iD

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