dorsal/arxiv
View SchemaConjugation Theorem For Affine Kac-Moody Superalgebras
| Authors | Peleg Bar Sever |
|---|---|
| Categories | |
| ArXiv ID | 2601.08638vv1 |
| URL | https://arxiv.org/abs/2601.08638 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
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.
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"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.",
"arxiv_id": "2601.08638",
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"Peleg Bar Sever"
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Conjugation Theorem For Affine Kac-Moody Superalgebras",
"url": "https://arxiv.org/abs/2601.08638",
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