Construction of local A-packets
Representation Theory
2022-04-26 v3 Number Theory
Abstract
In this paper, we reformulate Moeglin's explicit construction of local A-packets of split odd special orthogonal groups and symplectic groups. By this reformulation together with results of the previous paper with Minguez, we can compute the A-packets explicitly. Also, we give a non-vanishing criterion of our parametrization, and an algorithm to compute certain derivatives. Finally, we prove a formula for the Aubert duals of irreducible representations of Arthur type.
Cite
@article{arxiv.2012.07232,
title = {Construction of local A-packets},
author = {Hiraku Atobe},
journal= {arXiv preprint arXiv:2012.07232},
year = {2022}
}
Comments
Final version. A Sage code for computing examples in this paper is now available at: https://github.com/atobe31/Local-A-packets