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math.CO2026
Lattice Bruhat intervals are polytopal
Yibo Gao, Tao Gui
For a Bruhat interval in an arbitrary Coxeter group which is a lattice, we give a type-uniform construction of a convex polytope whose complete face lattice realizes $[x,y]…
math.CO2026
Complete simplicial fans, Stanley--Reisner rings, and equivariant h-polynomials
Tao Gui
We derive a graded character formula for the action of any finite group on the Artinian reduction of the Stanley--Reisner ring of any complete simplicial fan, which is given by an…