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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).


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
File format - PDF
Publisher Web site:
Publisher statement:© 2017 American Mathematical Society. First published in Contemporary Mathematics in (691, 2017) published by the American Mathematical Society.
Date accepted:13 April 2017
Date deposited:28 April 2017
Date of first online publication:2017
Date first made open access:No date available

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