Indecomposable modules of 2-step solvable Lie algebras in arbitrary characteristic
Let F be an algebraically closed field and consider the Lie algebra = ⟨ x ⟩ ⋉ , where ad x acts diagonalizably on the abelian Lie algebra . Refer to a -module as admissible if [, ] acts via nilpotent operators on it, which is automatic if chr(F) = 0. In this article, we classify all indecomposable -...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/185954 |
| Acesso em linha: | http://hdl.handle.net/11336/185954 |
| Access Level: | acceso abierto |
| Palavra-chave: | INDECOMPOSABLE MODULE LIE ALGEBRA UNISERIAL MODULE https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | Let F be an algebraically closed field and consider the Lie algebra = ⟨ x ⟩ ⋉ , where ad x acts diagonalizably on the abelian Lie algebra . Refer to a -module as admissible if [, ] acts via nilpotent operators on it, which is automatic if chr(F) = 0. In this article, we classify all indecomposable -modules U which are admissible as well as uniserial, in the sense that U has a unique composition series. |
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