English

Cohomological representations of parahoric subgroups

Representation Theory 2019-03-15 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1903.06153,
  title  = {Cohomological representations of parahoric subgroups},
  author = {Charlotte Chan and Alexander B. Ivanov},
  journal= {arXiv preprint arXiv:1903.06153},
  year   = {2019}
}

Comments

24 pages