Irreducible modular representations of GL\(_ 2\) of a local field. (English) Zbl 0826.22019

Barthel, L.; Livné, R.

Duke Math. J. 75, No. 2, 261-292 (1994).

Let \(F\) be a local field such that the characteristic of its residue field is nonzero, and let \(G = \text{GL}_2 (F)\). The authors give a classification of smooth irreducible representations of the group \(G\) by studying certain universal objects.

Reviewer: Min Ho Lee (Cedar Falls)

MSC:

22E50	Representations of Lie and linear algebraic groups over local fields
11F70	Representation-theoretic methods; automorphic representations over local and global fields
20G05	Representation theory for linear algebraic groups
20G25	Linear algebraic groups over local fields and their integers

Keywords:

Hecke algebras; smooth irreducible representations; universal objects

References:

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