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- W2000652571 abstract "We define the shortest path poset SP(u,v) of a Bruhat interval [u,v], by considering the shortest u---v paths in the Bruhat graph of a Coxeter group W, where u,v?W. We consider the case of SP(u,v) having a unique rising chain under a reflection order and show that in this case SP(u,v) is a Gorenstein? poset. This allows us to derive the nonnegativity of certain coefficients of the complete cd-index. We furthermore show that the shortest path poset of an irreducible, finite Coxeter group exhibits a symmetric chain decomposition." @default.
- W2000652571 created "2016-06-24" @default.
- W2000652571 creator A5056868914 @default.
- W2000652571 date "2012-12-13" @default.
- W2000652571 modified "2023-09-27" @default.
- W2000652571 title "Shortest path poset of Bruhat intervals" @default.
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- W2000652571 doi "https://doi.org/10.1007/s10801-012-0416-7" @default.
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