On some Jordan baric algebras

TL;DR

This paper unifies various classes of baric algebras using gametization, revealing that many are either Jordan algebras or closely related, thus clarifying their structure and relationships.

Contribution

It provides a unified framework for studying different baric algebras and establishes their connections to Jordan algebras using gametization techniques.

Findings

Many baric algebras are shown to be Jordan algebras or closely related.

The technique of gametization is effectively used to unify the treatment of these algebras.

The paper clarifies structural relationships among classes of baric algebras.

Abstract

Several classes of baric algebras studied by different authors will be given a unified treatment, using the technique of gametization introduced by Mallol et al. Many of these algebras will be shown to be either Jordan algebras or to be closely related to them.