Semi-simple Lie algebras are determined by their Iwasawa subalgebras
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909076417413120 |
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| author | Epstein, Jonathan Jablonski, Michael |
| author_facet | Epstein, Jonathan Jablonski, Michael |
| contents | Using tools from the geometry of Einstein solvmanifolds, we give a geometric argument that a semi-simple Lie algebra (of non-compact type) is completely determined by its Iwasawa subalgebra. Furthermore, we produce an algebraic procedure for recovering the semi-simple (of non-compact type) from its Iwasawa subalgebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00799 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semi-simple Lie algebras are determined by their Iwasawa subalgebras Epstein, Jonathan Jablonski, Michael Representation Theory Differential Geometry 2020: 53C25, 53C30, 22E25, 22E46 Using tools from the geometry of Einstein solvmanifolds, we give a geometric argument that a semi-simple Lie algebra (of non-compact type) is completely determined by its Iwasawa subalgebra. Furthermore, we produce an algebraic procedure for recovering the semi-simple (of non-compact type) from its Iwasawa subalgebra. |
| title | Semi-simple Lie algebras are determined by their Iwasawa subalgebras |
| topic | Representation Theory Differential Geometry 2020: 53C25, 53C30, 22E25, 22E46 |
| url | https://arxiv.org/abs/2310.00799 |