Relative Serre duality for Hecke categories
Representation Theory
2026-04-03 v2 Algebraic Geometry
Abstract
We prove a conjecture of Gorsky, Hogancamp, Mellit, and Nakagane in the Weyl group case. Namely, we show that the left and right adjoints of the parabolic induction functor between the associated Hecke categories of Soergel bimodules differ by the relative full twist. This exhibits a relative Serre duality pattern for the Hecke categories.
Keywords
Cite
@article{arxiv.2504.12798,
title = {Relative Serre duality for Hecke categories},
author = {Quoc P. Ho and Penghui Li},
journal= {arXiv preprint arXiv:2504.12798},
year = {2026}
}
Comments
Final version