Involutive root-graded Lie algebras and Lie tori of type $A$
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914001735122944 |
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| author | Azam, Saeid Farhadi, Mehdi Izadi |
| author_facet | Azam, Saeid Farhadi, Mehdi Izadi |
| contents | We investigate the concept of a ``Chevalley involution'' within the framework of root-graded Lie algebras with compatible grading. We provide a characterization of all centerless Lie tori of type $A_\ell(\ell\geq2)$ admitting a Chevalley involution. This work extends and completes the earlier results regarding the existence of such involutions for Lie tori of reduced types. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_16954 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Involutive root-graded Lie algebras and Lie tori of type $A$ Azam, Saeid Farhadi, Mehdi Izadi Quantum Algebra 17B67, 16W10, 17B65, 17B70 We investigate the concept of a ``Chevalley involution'' within the framework of root-graded Lie algebras with compatible grading. We provide a characterization of all centerless Lie tori of type $A_\ell(\ell\geq2)$ admitting a Chevalley involution. This work extends and completes the earlier results regarding the existence of such involutions for Lie tori of reduced types. |
| title | Involutive root-graded Lie algebras and Lie tori of type $A$ |
| topic | Quantum Algebra 17B67, 16W10, 17B65, 17B70 |
| url | https://arxiv.org/abs/2508.16954 |