Depth-zero base change for ramified U(2,1)
arXiv:0807.1528
Abstract
We give an explicit description of L-packets and quadratic base change for depth-zero representations of ramified unitary groups in two and three variables. We show that this base change lifting is compatible with a certain lifting of families of representations of finite groups. We conjecture that such a compatibility is valid in much greater generality.
Rewrote introduction; weakened hypotheses; removed some of the more straightforward proofs