The volumes of Miyauchi subgroups
Number Theory
2022-04-04 v3 Group Theory
Representation Theory
Abstract
Miyauchi described the and -factors attached to generic representations of the unramified unitary group of rank three in terms of local newforms defined by a sequence of subgroups. We calculate the volumes of these Miyauchi groups.
Keywords
Cite
@article{arxiv.1912.11921,
title = {The volumes of Miyauchi subgroups},
author = {Didier Lesesvre and Ian Petrow},
journal= {arXiv preprint arXiv:1912.11921},
year = {2022}
}
Comments
The paper has been revised as follows in v3: Our results have now been generalized to include even residue characteristic. We added some remarks on ramification in a new section 1.4. There was an error in Lemma 9 in earlier versions of this paper, which has now been corrected in v3. This is the final version of the paper, which is to appear in Archiv der Mathematik