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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/773| On the Theory of Lie Supergroups Actions on Supermanifolds | |
| OSCAR ADOLFO SANCHEZ VALENZUELA | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| Supervariedades Algebras de Lie | |
| Lie supergroups are here understood as group objects In the category of supermanlfolds <as in [10]). Actions of Lfe supergroups in supermanifolds are deffned In general by. means of diagrams of supermanHold rriorphlsms. Examples of such actions are given. Among them emerge the I inear actions discussed in [7]1 and the natural actions on the Grassmannian supermanifolds studied in [4J and [8]. The nature of the isotropy subs·upergro-up associated to an action Is fully elucidated_; It is exhibited as an embed£1ed subsupergroup within the spirit of the theory of smooth manifolds and Lie groups) and with no need of the Lle-Hopf algebraic approach of Kostant In [21 The riot ion Oi' orbit Is also discussed. Explicit calculations of Isotropy subsupergroups are Included. ;\!so} an alternative description of the space of global sections of the structural sheaf of a Lie supergroup Is gfvenl based on the triviality of Its supertangent bundle. | |
| Centro de Investigación en Matemáticas | |
| 21-11-1988 | |
| Reporte | |
| Inglés | |
| Investigadores | |
| ÁLGEBRA DE LIE | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Reportes Técnicos - Matemáticas |
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| I-88-32.pdf | 1.78 MB | Adobe PDF | Visualizar/Abrir |