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math.CO2019
Weak generalized lifting property, Bruhat intervals and Coxeter matroids
Fabrizio Caselli, Michele D'Adderio, Mario Marietti
We provide a weaker version of the generalized lifting property which holds in complete generality for all finite Coxeter groups, and we use it to show that every parabolic Bruhat…
math.RT2019
Low degree morphisms of E(5,10)-generalized verma modules
Nicoletta Cantarini, Fabrizio Caselli
In this paper we face the study of the representations of the exceptional Lie superalgebra E(5,10). We recall the construction of generalized Verma modules and give a combinatorial…