Depth-zero base change for ramified U(2,1)
Representation Theory
2009-09-25 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.0807.1528,
title = {Depth-zero base change for ramified U(2,1)},
author = {Jeffrey D. Adler and Joshua M. Lansky},
journal= {arXiv preprint arXiv:0807.1528},
year = {2009}
}
Comments
Rewrote introduction; weakened hypotheses; removed some of the more straightforward proofs