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

Stasinski, A. (2017) 'Representations of GL_N over finite local principal ideal rings : an overview.', in Around Langlands correspondences : international conference on around Langlands correspondences, June 17-20, 2015, Universite Paris Sud, Orsay, France ; proceedings. Providence, Rhode Island: American Mathematical Society, pp. 337-358. Contemporary mathematics. (691).

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.

Item Type:Book chapter
Full text:Publisher-imposed embargo
(AM) Accepted Manuscript
First Live Deposit - 28 April 2017
File format - PDF
(533Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1090/conm/691/13902
Publisher statement:© 2017 American Mathematical Society. First published in Contemporary Mathematics in (691, 2017) published by the American Mathematical Society.
Record Created:28 Apr 2017 09:43
Last Modified:02 Nov 2017 12:02

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