On the topology of the combinatorial flag varieties
The main result of this article is to show that the simplicial complex of all chains of matroids of a Coxeter group is shellable. This proves and extends a conjecture of White. A significant portion of the article is devoted to explaining briefly the concept of a Coxeter matroid, and developing certain theoretical tools required for the proof of the main theorem. The article also gives some results about the cohomology groups of certain other complexes.
scientific article; zbMATH DE number 1747937