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arXiv · 1903.06153

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.

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Charlotte Chan, Alexander B. Ivanov. 2019-03-14. Cohomological representations of parahoric subgroups. https://arxiv.org/abs/1903.06153

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