The explicit Zelevinsky-Aubert duality
Representation Theory
2020-09-07 v2 Number Theory
Abstract
In this paper, we give an explicit computable algorithm for the Zelevinsky-Aubert dual of irreducible representations of -adic symplectic and odd special orthogonal groups. To do this, we establish explicit formulas for certain derivatives and socles. We also give a combinatorial criterion for the irreducibility of certain parabolically induced representations.
Keywords
Cite
@article{arxiv.2008.05689,
title = {The explicit Zelevinsky-Aubert duality},
author = {Hiraku Atobe and Alberto Minguez},
journal= {arXiv preprint arXiv:2008.05689},
year = {2020}
}
Comments
39 pages