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

Stasinski, A.

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. (2015, June). Representations of GL_N over finite local principal ideal rings: an overview. Presented at Around Langlands Correspondences, Paris, France

• Presentation Conference Type: Conference Paper (published)
• Conference Name: Around Langlands Correspondences
• 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