#### Vol. 8, No. 8, 2014

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$\ell$-modular representations of unramified $p$-adic U(2,1)

### Robert James Kurinczuk

Vol. 8 (2014), No. 8, 1801–1838
##### Abstract

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

##### Keywords
representations of p-adic groups, modular representations
Primary: 22E50