Conjugation Theorem For Affine Kac-Moody Superalgebras
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866918286136967168 |
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| author | Sever, Peleg Bar |
| author_facet | Sever, Peleg Bar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08638 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conjugation Theorem For Affine Kac-Moody Superalgebras Sever, Peleg Bar Representation Theory 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. |
| title | Conjugation Theorem For Affine Kac-Moody Superalgebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2601.08638 |