Depth-zero base change for ramified U(2,1)

Mathematics – Representation Theory

Scientific paper

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Rewrote introduction; weakened hypotheses; removed some of the more straightforward proofs

Scientific paper

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.

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