Restriction of holomorphic discrete series to real forms /
Vargas, Jorge Antonio, 1949-
Restriction of holomorphic discrete series to real forms / Jorge Antonio Vargas. - Córdoba, Argentina : Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 2000. - 9 p. ; 30 cm. - Trabajos de Matemática. Serie A / Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física ; no. 60 .
Disponible también en línea.
Incluye referencias bibliográficas.
Let G be a connected linear semisimple Lie group having a Holomorphic Discrete Series representation π. Let H be a connected semisimple group of G so that the global symmetric space attached to H is a real form of the Hermitian symmetric space associated to G. Fix a maxial compact subgroup K of G so that H ∩ K is a maximal compact subgroup for H. Let τ be the lowest K_type for a π and let τ* denote the restriction of τ to H ∩ K. In this note we prove that the restriction of π to H is unitarily equivalent to the unitary representation of H induced by τ* .
Texto en inglés.
Semisimple Lie groups and their representations.
Lie Groups.
Grupos de Lie
Grupos de Lie Discrete series representations.
Restriction of holomorphic discrete series to real forms / Jorge Antonio Vargas. - Córdoba, Argentina : Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 2000. - 9 p. ; 30 cm. - Trabajos de Matemática. Serie A / Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física ; no. 60 .
Disponible también en línea.
Incluye referencias bibliográficas.
Let G be a connected linear semisimple Lie group having a Holomorphic Discrete Series representation π. Let H be a connected semisimple group of G so that the global symmetric space attached to H is a real form of the Hermitian symmetric space associated to G. Fix a maxial compact subgroup K of G so that H ∩ K is a maximal compact subgroup for H. Let τ be the lowest K_type for a π and let τ* denote the restriction of τ to H ∩ K. In this note we prove that the restriction of π to H is unitarily equivalent to the unitary representation of H induced by τ* .
Texto en inglés.
Semisimple Lie groups and their representations.
Lie Groups.
Grupos de Lie
Grupos de Lie Discrete series representations.