Corpus ID: 54840100

On the analogy between real reductive groups and Cartan motion groups. I: The Mackey-Higson bijection

@article{Afgoustidis2015OnTA,
  title={On the analogy between real reductive groups and Cartan motion groups. I: The Mackey-Higson bijection},
  author={Alexandre Afgoustidis},
  journal={arXiv: Representation Theory},
  year={2015}
}
  • Alexandre Afgoustidis
  • Published 2015
  • Mathematics
  • arXiv: Representation Theory
    • George Mackey suggested in 1975 that there should be analogies between the irreducible unitary representations of a noncompact reductive Lie group $G$ and those of its Cartan motion group $G_0$ $-$ the semidirect product of a maximal compact subgroup of $G$ and a vector space. He conjectured the existence of a natural one-to-one correspondence between "most" irreducible (tempered) representations of $G$ and "most" irreducible (unitary) representations of $G_0$. We here describe a simple and… CONTINUE READING
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