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4 papers · 2 filters
Relative hard Lefschetz for Soergel bimodules
Ben Elias, Geordie Williamson
We prove the relative hard Lefschetz theorem for Soergel bimodules. It follows that the structure constants of the Kazhdan-Lusztig basis are unimodal. We explain why the relative h…
Monoidal supercategories
Jonathan Brundan, Alexander P. Ellis
In the literature, one finds several competing notions for the super (i.e., Z/2-graded) analog of a monoidal category. The goal of this paper is to clarify these definitions and th…
The Orlik-Terao algebra and the cohomology of configuration space
Daniel Moseley, Nicholas Proudfoot, Ben Young
We give a recursive algorithm for computing the Orlik-Terao algebra of the Coxeter arrangement of type A_{n-1} as a graded representation of S_n, and we give a conjectural descript…
Restriction of odd degree characters and natural correspondences
Eugenio Giannelli, Alexander Kleshchev, Gabriel Navarro +1
Let be an odd prime power, , and let denote a maximal parabolic subgroup of with Levi subgroup . We restrict the odd-degree irr…