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- University of MinnesotaUS21 papers
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- Argonne National LaboratoryUS4 papers
- Charles UniversityCZ4 papers
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- Czech Academy of SciencesCZ4 papers
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- Erciyes UniversityTR4 papers
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A greedoid and a matroid inspired by Bhargava's -orderings
Darij Grinberg, Fedor Petrov
Consider a finite set . Assume that each has a "weight" assigned to it, and any two distinct have a "distance" $d \left(…
The representation theory of somewhere-to-below shuffles
Darij Grinberg
The *somewhere-to-below shuffles* are the elements \[ t_{\ell} := \operatorname{cyc}_{\ell}+\operatorname{cyc}_{\ell,\ell+1}+\operatorname{cyc}_{\ell,\ell+1,\ell+2}+\cdots+\operato…
The enriched -monomial basis of the quasisymmetric functions
Darij Grinberg, Ekaterina A. Vassilieva
We construct a new family of quasisymmetric functions for each element of the base ring. We call them the…
Twists, Higher Dimer Covers, and Web Duality for Grassmannian Cluster Algebras
Esther Banaian, Elise Catania, Christian Gaetz +3
We study a twisted version of Fraser, Lam, and Le's higher boundary measurement map, using face weights instead of edge weights, thereby providing Laurent polynomial expansions, in…