Restriction of discrete series (some, same A-rank cases) / Jorge Antonio Vargas.
Idioma: Inglés Series Trabajos de Matemática. Serie A / Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física ; no. 50Detalles de publicación: Córdoba, Argentina : Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 1998Descripción: 14 p. ; 30 cmTema(s): Resumen: Let G connected linear semisimple Lie group. Let π be a Discrete series repressentation for G. Let H be a connected semisimple subgroup od G so that they have the same ral rank. In this note we prove that a Discrete Series representation for H, whose lowest K1 - type ocurs in the lowest K- type of π, is contained in the restriction of π to H. We compute the restriction to SO(p,q)0 of a holomorphic Discrete series for SU(p,q), and prove that the restriction of a Discrete Series representation for Spin(2n,1) to Spin(2n-1,1) has finite multiplicity.Tipo de ítem | Biblioteca actual | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems |
---|---|---|---|---|---|---|---|
Series FaMAF | FaMAF Sección Series Famaf | Trabajo Matemática Serie A CAJA 5 - F0142 | 1 | Disponible | F0142 | ||
Series FaMAF | FaMAF Sección Series Famaf | Trabajo Matemática Serie A CAJA 5 - F0144 | 2 | Disponible | F0144 | ||
Series FaMAF | FaMAF Sección Series Famaf | Trabajo Matemática Serie A CAJA 5 - F0145 | 3 | Disponible | F0145 | ||
Series FaMAF | FaMAF Sección Series Famaf | Trabajo Matemática Serie A CAJA 4 - F0143 | 4 | Disponible | F0143 |
Bibliografía: p. 14.
Let G connected linear semisimple Lie group. Let π be a Discrete series repressentation for G. Let H be a connected semisimple subgroup od G so that they have the same ral rank. In this note we prove that a Discrete Series representation for H, whose lowest K1 - type ocurs in the lowest K- type of π, is contained in the restriction of π to H. We compute the restriction to SO(p,q)0 of a holomorphic Discrete series for SU(p,q), and prove that the restriction of a Discrete Series representation for Spin(2n,1) to Spin(2n-1,1) has finite multiplicity.