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An application of a theorem of Emerton to mod p representations of GL 2
Author(s) -
Hu Yongquan
Publication year - 2017
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms.12080
Subject(s) - mod , prime (order theory) , mathematics , cohomology , extension (predicate logic) , division (mathematics) , pure mathematics , algebra over a field , discrete mathematics , combinatorics , arithmetic , computer science , programming language
Let p be a prime and L be a finite extension of Q p . We study the ordinary parts ofGL 2 ( L ) ‐representations arise in the mod p cohomology of Shimura curves attached to indefinite division algebras which splits at a finite place above p . The main tool of the proof is a theorem of Emerton.