Restriction of <i>p</i>-modular representations of U(2,1) to a Borel subgroup

Let G be the unramified unitary group [Formula: see text] over a non-archimedean local field F of odd residue characteristic p, and let B be the standard Borel subgroup of G. In this paper, we study the problem of the restriction of irreducible smooth [Formula: see text]-representations of G to B, and we prove results which are analogous to that of Paškūnas on [Formula: see text] [V. Paškūnas, On the restriction of representations of [Formula: see text] to a Borel subgroup, Compos. Math. 143(6) (2007) 1533–1544, MR 2371380 (2009a:22013)].