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

V. Fischer ; Genkai Zhang (Institutionen för matematiska vetenskaper, matematik)
Monatshefte Fur Mathematik (0026-9255). Vol. 176 (2015), 1, p. 87-105.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Complementary series, Harmonic analysis on semisimple and nilpotent Lie groups

Denna post skapades 2015-02-05. Senast ändrad 2015-12-17.
CPL Pubid: 212210


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