A new characterization of Kac-Moody-Malcev superalgebras
Saeid Azam
TL;DR
This paper introduces a new framework linking Malcev superalgebras to Kac-Moody structures, expanding the class of known Malcev superalgebras with potential applications in algebraic theory.
Contribution
It demonstrates that certain Malcev superalgebras can be characterized similarly to Kac-Moody superalgebras, providing new examples and extending existing classifications.
Findings
New examples of Malcev superalgebras constructed
Framework unifies Malcev superalgebras with Kac-Moody theory
Enhanced understanding of algebraic extensions
Abstract
In the past two decades there has been a great attention to Lie (super)algebras which are extensions of affine Kac-Moody Lie (super)algebras, in certain typical or axiomatic approaches. These Lie (super)algebras have been mostly studied under variations of the name "extended affine Lie (super)algebras". We show that certain classes of Malcev (super)algebras also can be put in this framework. This in particular allows to provide new examples of Malcev (super)algebras which extend the known Kac-Moody Malcev (super)algebras.
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