Conjugation Theorem For Affine Kac-Moody Superalgebras
Representation Theory
2026-01-14 v1
Abstract
We extend a conjugacy Theorem of Cartan subalgebras, originally established for symmetrizable Kac-Moody algebras, to the broader context of affine Kac-Moody superalgebras. Along the way, we obtain several results that deepen our understanding of the structure of affine Kac-Moody superalgebras. Additionally, we achieve findings regarding the relations within the imaginary root spaces of symmetrizable affine Kac-Moody superalgebras, providing new insights into their algebraic properties.
Keywords
Cite
@article{arxiv.2601.08638,
title = {Conjugation Theorem For Affine Kac-Moody Superalgebras},
author = {Peleg Bar Sever},
journal= {arXiv preprint arXiv:2601.08638},
year = {2026}
}