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math.RT2020★ 2 cited
Representations of automorphism groups on the homology of matroids
Luca Moci, Gian Marco Pezzoli
Given a group of automorphisms of a matroid , we describe the representations of on the homology of the independence complex of the dual matroid . These representat…
math.RT2009
Combinatorics and topology of toric arrangements defined by root systems
Luca Moci
Given the toric (or toral) arrangement defined by a root system , we describe the poset of its layers (connected components of intersections) and we count its elements. Indeed w…