| Autor: |
Moci, Luca, Pezzoli, Gian Marco |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
European Journal of Combinatorics 94 (2021) 103312 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.ejc.2021.103312 |
| Popis: |
Given a group $G$ of automorphisms of a matroid $M$, we describe the representations of $G$ on the homology of the independence complex of the dual matroid $M^*$. These representations are related with the homology of the lattice of flats of $M$, and (when $M$ is realizable) with the top cohomology of a hyperplane arrangement. Finally we analyze in detail the case of the complete graph, which has applications to algebraic geometry. |
| Databáze: |
arXiv |
| Externí odkaz: |
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