On minimal faithful representations of a class of nilpotent lie algebras
In this work we consider 2-step nilradicals of parabolic subalgebras of the simple Lie algebra An and describe a new family of faithful nil-representations of the nilradicals na,c, a, c ∈ N. We obtain a sharp upper bound for the minimal dimension µ(na,c ) and for several pairs (a, c) we obtain µ(na,...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/172731 |
| Acceso en línea: | http://hdl.handle.net/11336/172731 |
| Access Level: | acceso abierto |
| Palabra clave: | MINIMAL FAITHFUL REPRESENTATION NILPOTENT LIE ALGEBRAS NILRADICALS NILREPRESENTATION https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this work we consider 2-step nilradicals of parabolic subalgebras of the simple Lie algebra An and describe a new family of faithful nil-representations of the nilradicals na,c, a, c ∈ N. We obtain a sharp upper bound for the minimal dimension µ(na,c ) and for several pairs (a, c) we obtain µ(na,c ). |
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