We provide a weaker version of the generalized lifting property that holds in complete generality for all Coxeter groups, and we use it to show that every parabolic Bruhat interval of a finite Coxeter group is a Coxeter matroid. We also describe some combinatorial properties of the associated polytopes
Caselli, F., D’Adderio, M., Marietti, M. (2021). Weak Generalized Lifting Property, Bruhat Intervals, and Coxeter Matroids. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021(3), 1678-1698 [10.1093/imrn/rnaa124].
Weak Generalized Lifting Property, Bruhat Intervals, and Coxeter Matroids
Caselli, Fabrizio;
2021
Abstract
We provide a weaker version of the generalized lifting property that holds in complete generality for all Coxeter groups, and we use it to show that every parabolic Bruhat interval of a finite Coxeter group is a Coxeter matroid. We also describe some combinatorial properties of the associated polytopesFile in questo prodotto:
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