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math.CO2023
Affine extended weak order is a lattice
Grant T. Barkley, David E Speyer
Coxeter groups are equipped with a partial order known as the weak order, such that if the inversions of are a subset of the inversions of . In finite Coxeter gro…
math.CO2023★ 3 cited
Combinatorial invariance for Kazhdan-Lusztig -polynomials of elementary intervals
Grant T. Barkley, Christian Gaetz
We adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Veličković-Williamson to prove the Combinatorial Invariance Conjecture for Kazhdan-Lusztig -polynomia…