Representations of 𝐺𝐿_{𝑁} over finite local principal ideal rings: An overview

Autor: Alexander Stasinski
Rok vydání: 2017
Předmět:
Zdroj: Around Langlands Correspondences. :337-358
ISSN: 1098-3627
0271-4132
DOI: 10.1090/conm/691/13902
Popis: 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.
Databáze: OpenAIRE