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
5 September 2020
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.
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.
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Published date: 5 September 2020
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12 pages
Keywords:
math.CO, hep-ph, hep-th
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Local EPrints ID: 443831
URI: http://eprints.soton.ac.uk/id/eprint/443831
PURE UUID: cf18f8cd-85d8-4a4b-81c9-8708053bb157
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Date deposited: 14 Sep 2020 16:36
Last modified: 17 Mar 2024 03:33
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Author:
Ruggero Bandiera
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