A cohomological proof of Peterson-Kac's theorem of conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras
This paper deals with the problem of conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Unlike the methods used by Peterson and Kac, our approach is entirely cohomological and geometric. It is deeply rooted on the theory of reductive group schemes developed by Demazure and Grothendie...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/32669 |
| Acceso en línea: | http://hdl.handle.net/11336/32669 |
| Access Level: | acceso abierto |
| Palabra clave: | Conjucacy Cartan Subalgebras Affine Kac-Moody Lie Algebras Non-Abelian Cohomology https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | This paper deals with the problem of conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Unlike the methods used by Peterson and Kac, our approach is entirely cohomological and geometric. It is deeply rooted on the theory of reductive group schemes developed by Demazure and Grothendieck, and on the work of J. Tits on buildings. |
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