Multiplicity bounds and the subrepresentation theorem for real spherical spaces

TY - JOUR

T1 - Multiplicity bounds and the subrepresentation theorem for real spherical spaces

AU - Krötz, Bernhard

AU - Schlichtkrull, Henrik

PY - 2016/4

Y1 - 2016/4

N2 - Let G be a real semi-simple Lie group and H a closed subgroup which admits an open orbit on the flag manifold of a minimal parabolic subgroup. Let V be a Harish-Chandra module. A uniform finite bound is given for the dimension of the space of H-fixed distribution vectors for V, and a related subrepresentation theorem is derived.

AB - Let G be a real semi-simple Lie group and H a closed subgroup which admits an open orbit on the flag manifold of a minimal parabolic subgroup. Let V be a Harish-Chandra module. A uniform finite bound is given for the dimension of the space of H-fixed distribution vectors for V, and a related subrepresentation theorem is derived.

U2 - 10.1090/S0002-9947-2014-06427-1

DO - 10.1090/S0002-9947-2014-06427-1

M3 - Journal article

SN - 0002-9947

VL - 368

SP - 2749

EP - 2762

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 4

ER -