Discrete components in restriction of unitary representations of rank one semisimple Lie groups

@article{Zhang2011DiscreteCI,
  title={Discrete components in restriction of unitary representations of rank one semisimple Lie groups},
  author={Genkai Zhang},
  journal={Journal of Functional Analysis},
  year={2011},
  volume={269},
  pages={3689-3713}
}
  • Genkai Zhang
  • Published 28 November 2011
  • Mathematics
  • Journal of Functional Analysis
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TLDR
A main ingredient of the proof is a stronger version of the branching of the complementary series and a refinement of the works of Ratner and Flaminio–Forni is adequate for the purpose.
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We find the complete branching law for the restriction of certain unitary representations of $O(1,n+1)$ to the subgroups $O(1,m+1)\times O(n-m)$, $0\leq m\leq n$. The unitary representations we
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In this paper, we consider the connected split rank one 1 1 Lie group of real type F4 which we denote by F4. We first exhibit F4 as a group of operators on the complexification of A. A. Albert's
Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups
We consider the spherical complementary series of rank one Lie groups $$H_n={ SO }_0(n, 1; {\mathbb {F}})$$Hn=SO0(n,1;F) for $${\mathbb {F}}={\mathbb {R}}, {\mathbb {C}}, {\mathbb {H}}$$F=R,C,H. We
Composition series and intertwining operators for the spherical principal series
In this paper, we consider the connected split rank one Lie group of real type F4 which we denote by F4. We first exhibit F4 as a group of operators on the complexification of A. A. Albert's
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