Degenerate principal series representations of SO(p+1, p)
Journal article, 2015

For odd, the Lie group has a family of complementary series representations realized on the space of real skew symmetric matrices, similar to the Stein's complementary series for . We consider their restriction on the subgroup and prove that they are still irreducible and is equivalent to (a unitarization of) the principal series representation of , and also irreducible under a maximal parabolic subgroup of G.

Complementary series

Harmonic analysis on semisimple and nilpotent Lie groups


V. Fischer

Imperial College London

Genkai Zhang

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Monatshefte für Mathematik

0026-9255 (ISSN) 1436-5081 (eISSN)

Vol. 176 1 87-105

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