The roots of exceptional modular Lie superalgebras with Cartan matrix
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866914948429381632 |
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| author | Bouarroudj, Sofiane Leites, Dimitry Lozhechnyk, Alexander Shang, Jin |
| author_facet | Bouarroudj, Sofiane Leites, Dimitry Lozhechnyk, Alexander Shang, Jin |
| contents | For each of the exceptional Lie superalgebras with indecomposable Cartan matrix, we give the explicit list of its roots of and the corresponding Chevalley basis for one of the inequivalent Cartan matrices, the one corresponding to the greatest number of mutually orthogonal isotropic odd simple roots.
Our main tools: Grozman's Mathematica-based code SuperLie, and Python. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_09578 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | The roots of exceptional modular Lie superalgebras with Cartan matrix Bouarroudj, Sofiane Leites, Dimitry Lozhechnyk, Alexander Shang, Jin Representation Theory Rings and Algebras For each of the exceptional Lie superalgebras with indecomposable Cartan matrix, we give the explicit list of its roots of and the corresponding Chevalley basis for one of the inequivalent Cartan matrices, the one corresponding to the greatest number of mutually orthogonal isotropic odd simple roots. Our main tools: Grozman's Mathematica-based code SuperLie, and Python. |
| title | The roots of exceptional modular Lie superalgebras with Cartan matrix |
| topic | Representation Theory Rings and Algebras |
| url | https://arxiv.org/abs/1904.09578 |