Cohomological representations of parahoric subgroups

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.

24 pages

References in corpus (2)

• On parahoric subgroups
• Geometric realization of special cases of local Langlands and Jacquet-Langlands correspondences

Cited by in corpus (2)

• Orthogonality relations for deep level Deligne--Lusztig schemes of Coxeter type
• The Drinfeld stratification for ${\mathrm{GL}}_n$