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2026-01-13 15:12 UTC · math.RT · math.RT

Conjugation Theorem For Affine Kac-Moody Superalgebras

Peleg Bar Sever

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.
arXiv abstractPDF

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