Cohomological representations of parahoric subgroups

2019/03/14 by Chan, Charlotte, Ivanov, Alexander B. · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1903.06153

Abstract

We generalize a cohomological construction of representations due to Lusztig from the hyperspecial case to arbitrary parahoric subgroups of a reductive group over a local field, which splits over an unramified extension. We compute the character of these representations on certain very regular elements.

Cited by

• Generic Mackey Formula for Parahoric Lusztig Functors
• An explicit decomposition of higher Deligne-Lsuztig representations

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