Unitary quasifinite representations of W_{\infty}

We classify the unitary quasi-finite highest-weight modules over the Lie algebra W and realize them in terms of unitary highest-weight representations of the Lie algebra of infinite matrices with finitely many nonzero diagonals.

Detalles Bibliográficos
Autores: Kac, Victor, Liberati, Jose Ignacio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2000
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/132588
Acceso en línea:http://hdl.handle.net/11336/132588
Access Level:acceso abierto
Palabra clave:Quasifinite representations
Graded Lie algebras
Unitary quasi-finite highest
Weight modules
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:We classify the unitary quasi-finite highest-weight modules over the Lie algebra W and realize them in terms of unitary highest-weight representations of the Lie algebra of infinite matrices with finitely many nonzero diagonals.