Conical representations for direct limits of symmetric spaces

@article{Dawson2015ConicalRF,
  title={Conical representations for direct limits of symmetric spaces},
  author={Matthew Dawson and Gestur {\'O}lafsson},
  journal={Mathematische Zeitschrift},
  year={2015},
  volume={286},
  pages={1375-1419}
}
  • Matthew Dawson, Gestur Ólafsson
  • Published 2015
  • Mathematics
  • Mathematische Zeitschrift
  • We extend the definition of conical representations for Riemannian symmetric spaces to a certain class of infinite-dimensional Riemannian symmetric spaces. Using a certain infinite-dimensional version of Weyl’s Unitary Trick, we show that there is a correspondence between smooth representations of infinite-dimensional noncompact-type Riemannian symmetric spaces and smooth representations of infinite-dimensional compact-type symmetric spaces. We classify all smooth conical representations which… CONTINUE READING

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