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math.AT2024
Weyl group symmetries of the toric variety associated with Weyl chambers
Tao Gui, Hongsheng Hu, Minhua Liu
For any crystallographic root system, let be the associated Weyl group, and let be the weight polytope (also known as the -permutohedron) associated with an ar…
math.RA2024
On Bott--Samelson rings for Coxeter groups
Tao Gui, Lin Sun, Shihao Wang +1
We study the cohomology ring of the Bott--Samelson variety. We compute an explicit presentation of this ring via Soergel's result, which implies that it is a purely combinatorial i…