Braden-MacPherson sheaves on alcoves

2025/10/13 by Abe, Noriyuki
#05E10 #20G05 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2510.11093

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.

Citations

• On one-sided singular Soergel bimodules
• Smith-Treumann theory and the linkage principle
• A simple character formula
• The anti-spherical category
• The p-Canonical Basis for Hecke Algebras
• A note on the transitive Hurwitz action on decompositions of parabolic\n Coxeter elements
• On the stable moment graph of an affine Kac--Moody algebra
• From moment graphs to intersection cohomology

Related

• Filtered moment graph sheaves
• On a theorem of Braden
• Abstract sheaf theory
• Gabriel morphisms and the computability of Serre quotients with\n applications to coherent sheaves
• On decomposition of Bott-Samelson sheaves