We construct, for any finite commutative ring R, a family of representations of the general linear group GLnðRÞ whose intertwining properties mirror those of the principal series for GLn over a finite field.
Bibliographical noteOpen access via T&F agreement
Fundings: Australian Research Council / Danmarks Grundforskningsfond / German Research Foundation / Israel Science Foundation / Max-Planck-Gesellschaft / Radboud Universiteit
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].
- Finite commutative rings
- general linear groups
- principal series