Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S

In the present paper, we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras Sn and continuous representations of the Li...

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Detalles Bibliográficos
Autores: Boyallian, Carina, Meinardi, Vanesa Beatriz
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/89291
Acceso en línea:http://hdl.handle.net/11336/89291
Access Level:acceso abierto
Palabra clave:LINEARLY COMPACT N -LIE SUPERALGEBRA
REPRESENTATION THEORY OF N -LIE ALGEBRA
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In the present paper, we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous representations of the n-Lie algebras Sn and continuous representations of the Lie algebra of Cartan type S, on which some two-sided ideal acts trivially.