Resolutions of locally analytic principal series representations of GL₂

2020/08/11 by Lahiri, Aranya
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2008.04503

Abstract

For a finite field extension F/ℚ_p we associate a coefficient system attached on the Bruhat-Tits tree of G:= \rm GL₂(F) to a locally analytic representation V of G. This is done in analogy to the work of Schneider and Stuhler for smooth representations. This coefficient system furnishes a chain-complex which is shown, in the case of locally analytic principal series representations V, to be a resolution of V.

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