Almost Inner Derivations of Affinizations of Minimal Q-graded Subalgebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914202279477248 |
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| author | Shen, Yaxin Wang, Xiandong |
| author_facet | Shen, Yaxin Wang, Xiandong |
| contents | Minimal Q-graded subalgebras of semisimple Lie algebras are introduced, and it is proved that their derived algebras are abelian. Almost inner derivations of minimal Q-graded subalgebras are investigated, they are all inner derivations. Based on these Lie algebras, a decomposition formula is obtained for derivations of loop algebras, and almost inner derivations of affinizations are determined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09484 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost Inner Derivations of Affinizations of Minimal Q-graded Subalgebras Shen, Yaxin Wang, Xiandong Representation Theory Minimal Q-graded subalgebras of semisimple Lie algebras are introduced, and it is proved that their derived algebras are abelian. Almost inner derivations of minimal Q-graded subalgebras are investigated, they are all inner derivations. Based on these Lie algebras, a decomposition formula is obtained for derivations of loop algebras, and almost inner derivations of affinizations are determined. |
| title | Almost Inner Derivations of Affinizations of Minimal Q-graded Subalgebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2507.09484 |