Hom-Lie structures on Kac-Moody algebras
Abdenacer Makhlouf, Pasha Zusmanovich
TL;DR
This paper investigates Hom-Lie structures on affine Kac-Moody algebras, exploring their properties and conditions under which they form Jordan algebras, contributing to the understanding of algebraic structures in infinite-dimensional Lie theory.
Contribution
It characterizes Hom-Lie structures on affine Kac-Moody algebras and examines their algebraic properties, including when they constitute Jordan algebras.
Findings
Hom-Lie structures are described for affine Kac-Moody algebras.
Conditions for these structures to form Jordan algebras are discussed.
The paper advances understanding of algebraic structures in infinite-dimensional Lie algebras.
Abstract
We describe Hom-Lie structures on affine Kac-Moody and related Lie algebras, and discuss the question when they form a Jordan algebra.
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