Representations of GL_N over finite local principal ideal rings: an overview

Stasinski, A.

doi:10.1090/conm/691/13902

Representations of GL_N over finite local principal ideal rings: an overview

Stasinski, A.

Authors

Professor Alexander Stasinski alexander.stasinski@durham.ac.uk
Professor

Contributors

Farrell Brumley
Editor

Maria Paula Gómez Aparicio
Editor

Alberto Mínguez
Editor

Abstract

We give a survey of the representation theory of GLN over finite local principal ideal rings via Clifford theory, with an emphasis on the construction of regular representations. We review results of Shintani and Hill, and the generalisation of Takase. We then summarise the main features, with some details but without proofs, of the recent constructions of regular representations due to Krakovski–Onn–Singla and Stasinski–Stevens, respectively.

Citation

Stasinski, A. (2017). Representations of GL_N over finite local principal ideal rings: an overview. In F. Brumley, M. P. Gómez Aparicio, & A. Mínguez (Eds.), Around Langlands correspondences : international conference on around Langlands correspondences, June 17-20, 2015, Universite Paris Sud, Orsay, France ; proceedings (337-358). https://doi.org/10.1090/conm/691/13902

Conference Name	Around Langlands Correspondences
Conference Location	Paris, France
Start Date	Jun 17, 2015
End Date	Jun 20, 2015
Acceptance Date	Apr 13, 2017
Publication Date	Jan 1, 2017
Deposit Date	Apr 27, 2017
Pages	337-358
Series Title	Contemporary mathematics
Series Number	691
Series ISSN	0271-4132,1098-3627
Book Title	Around Langlands correspondences : international conference on around Langlands correspondences, June 17-20, 2015, Universite Paris Sud, Orsay, France ; proceedings.
ISBN	9781470435738
DOI	https://doi.org/10.1090/conm/691/13902
Public URL	https://durham-repository.worktribe.com/output/1147278