English

Braden-MacPherson sheaves on alcoves

Representation Theory 2025-10-16 v2

Abstract

We study Braden-MacPherson sheaves on the moment graph associated to the set of of alcoves. We define an action of Soergel bimodules on the category of Braden-MacPherson sheaves. We also prove a certain stability of morphisms between Braden-MacPherson sheaves.

Keywords

Cite

@article{arxiv.2510.11093,
  title  = {Braden-MacPherson sheaves on alcoves},
  author = {Noriyuki Abe},
  journal= {arXiv preprint arXiv:2510.11093},
  year   = {2025}
}

Comments

30 pages

R2 v1 2026-07-01T06:33:16.841Z