On modules over matrix quantum pseudo-differential operators
We classify all the quasifinite highest-weight modules over the central extension of the Lie algebra of matrix quantum pseudo-differential operators, and obtain them in terms of representation theory of the Lie algebra gl(∞, Rm) of infinite matrices with only finitely many nonzero diagonals over the...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2002 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/129962 |
| Acceso en línea: | http://hdl.handle.net/11336/129962 |
| Access Level: | acceso abierto |
| Palabra clave: | GRADED LIE ALGEBRAS QUASIFINITE HIGHEST WEIGHT MODULES https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We classify all the quasifinite highest-weight modules over the central extension of the Lie algebra of matrix quantum pseudo-differential operators, and obtain them in terms of representation theory of the Lie algebra gl(∞, Rm) of infinite matrices with only finitely many nonzero diagonals over the algebra Rm = ℂ[t]/(tm+1). We also classify the unitary ones. |
|---|