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

Adler, Jeffrey; Lansky, Joshua

doi:10.1090/S0002-9947-10-05212-8

Depth-zero base change for ramified $U(2,1)$
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by Jeffrey D. Adler and Joshua M. Lansky PDF

Trans. Amer. Math. Soc. 362 (2010), 5569-5599 Request permission

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.

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