Color Lie algebras and Lie algebras of order F

TL;DR

This paper generalizes color algebras to F-ary algebras, establishes decoloration theorems, and constructs colored structures using tensor products with Clifford-like algebras, also relating them to q=0 quon algebras.

Contribution

It introduces a generalization of color algebras to F-ary algebras and provides new construction methods and realizations for these structures.

Findings

Decoloration theorems for F-ary color algebras

Construction of colored structures via tensor products with Clifford-like algebras

Realization of color algebras as q=0 quon algebras

Abstract

The notion of color algebras is generalized to the class of F-ary algebras, and corresponding decoloration theorems are established. This is used to give a construction of colored structures by means of tensor products with Clifford-like algebras. It is moreover shown that color algebras admit realisations as q=0 quon algebras.