English

l-modular representations of unramified p-adic U(2,1)

Representation Theory 2016-01-20 v1

Abstract

We construct all cuspidal l-modular representations of a unitary group in three variables attached to an unramified extension of local fields of odd residual characteristic p with l\neq p. We describe the l-modular principal series and show that the supercuspidal support of an irreducible l-modular representation is unique up to conjugacy.

Keywords

Cite

@article{arxiv.1307.7739,
  title  = {l-modular representations of unramified p-adic U(2,1)},
  author = {Robert Kurinczuk},
  journal= {arXiv preprint arXiv:1307.7739},
  year   = {2016}
}

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30 pages