Construction of simple non-weight sl(2)-modules of arbitrary rank
[EN]We study simple non-weight sl(2)-modules which are finitely generated as C[z]-modules. We show that they are described in terms of semilinear endomorphisms and prove that the Smith type induces a stratification on the set of these sl(2)-modules, providing thus new invariants. Moreover, we show t...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/159336 |
| Acceso en línea: | http://hdl.handle.net/10366/159336 |
| Access Level: | acceso abierto |
| Palabra clave: | sl(2)-representations Simple modules Non-weight modules |
| Sumario: | [EN]We study simple non-weight sl(2)-modules which are finitely generated as C[z]-modules. We show that they are described in terms of semilinear endomorphisms and prove that the Smith type induces a stratification on the set of these sl(2)-modules, providing thus new invariants. Moreover, we show that there is a notion of duality for these type of sl(2)-modules. Finally, we show that there are simple non-weight sl(2)-modules of arbitrary rank by constructing a whole new family of them. |
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