Corpus ID: 123744904

How tempered representations of a semisimple Lie group contract to its Cartan motion group

@article{Afgoustidis2015HowTR,
  title={How tempered representations of a semisimple Lie group contract to its Cartan motion group},
  author={Alexandre Afgoustidis},
  journal={arXiv: Representation Theory},
  year={2015}
}
  • Alexandre Afgoustidis
  • Published 2015
  • Mathematics
  • arXiv: Representation Theory
  • George W. Mackey suggested in 1975 that there should be analogies between the irreducible unitary representations of a noncompact semisimple Lie group G and those of its Cartan motion group − the semidirect product G 0 of a maximal compact subgroup of G and a vector space. In these notes, I focus on the carrier spaces for these representations and try to give a precise meaning to some of Mackey's remarks. I first describe a bijection, based on Mackey's suggestions, between the tempered dual of… CONTINUE READING
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