Corpus ID: 195820494

Cuspidal irreducible representations of quaternionic forms of p-adic classical groups for odd p

@article{Skodlerack2019CuspidalIR,
  title={Cuspidal irreducible representations of quaternionic forms of p-adic classical groups for odd p},
  author={Daniel Skodlerack},
  journal={arXiv: Representation Theory},
  year={2019}
}
  • D. Skodlerack
  • Published 5 July 2019
  • Mathematics
  • arXiv: Representation Theory
Given a quaternionic form G of a p-adic classical group ($p$ odd) we classify all cuspidal irreducible complex representations of G. It is a straight forward generalization of the classification in the p-adic classical group case. We prove two theorems: At first: Every irreducible cuspidal representation of G is induced from a cuspidal type, i.e. from a certain irreducible representation of a compact open subgroup of G, constructed from a beta-extension and a cuspidal representation of a finite… Expand
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