The Category of Finitely Presented Smooth Mod Representations of

  • Jack Shotton

    Department of Mathematics, Durham University, Lower Mountjoy, Stockton Road, Durham DH1 3LE, United Kingdom
The Category of Finitely Presented Smooth Mod $p$ Representations of $GL_2(F)$ cover
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Abstract

Let be a finite extension of . We prove that the category of finitely presented smooth -finite representations of over a finite extension of is an abelian subcategory of the category of all smooth representations. The proof uses amalgamated products of completed group rings.

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Jack Shotton, The Category of Finitely Presented Smooth Mod Representations of . Doc. Math. 25 (2020), pp. 143–157

DOI 10.4171/DM/741