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

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.

### 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
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### References:

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