@article{cb48f69c3aab4234a009ae0428024bd3,
title = "Principal series for general linear groups over finite commutative rings",
abstract = "We construct, for any finite commutative ring R, a family of representations of the general linear group (Formula presented.) whose intertwining properties mirror those of the principal series for (Formula presented.) over a finite field.",
keywords = "Finite commutative rings, general linear groups, principal series",
author = "Tyrone Crisp and Ehud Meir and Uri Onn",
note = "Funding Information: The first and second authors were partly supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92). The first author was also supported by fellowships from the Max Planck Institute for Mathematics in Bonn, and from the Radboud Excellence Initiative at Radboud University Nijmegen. The second author was also supported by the Research Training Group 1670 “Mathematics Inspired by String Theory and Quantum Field Theory.” The third author acknowledges the support of the Israel Science Foundation [grant number 1862/16] and of the Australian Research Council [grant number FT160100018]. Publisher Copyright: {\textcopyright} 2021 The Author(s). Published with license by Taylor and Francis Group, LLC.",
year = "2021",
month = jan,
day = "1",
doi = "10.1080/00927872.2021.1931264",
language = "English",
volume = "49",
pages = "4857--4868",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "11",
}