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Restriction of discrete series (some, same A-rank cases) / Jorge Antonio Vargas.

By: Vargas, Jorge Antonio, 1949-.
Material type: materialTypeLabelBookSeries: Trabajos de Matemática. Serie A / Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física ; no. 50.Publisher: Córdoba, Argentina : Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 1998Description: 14 p. ; 30 cm.Subject(s): Semisimple Lie groups and their representations | Topological groups, Lie groups | Discrete series representationsSummary: 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.
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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.

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