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JCT
2000
94views more  JCT 2000»
13 years 4 months ago
Combinatorial Flag Varieties
We prove that -matroids associated with maps on compact closed surfaces are representable, with the space of representation provided by cohomology of the surface with punctured po...
Alexandre V. Borovik, Israel M. Gelfand, Neil Whit...
COMBINATORICS
2006
113views more  COMBINATORICS 2006»
13 years 4 months ago
Inversions Within Restricted Fillings of Young Tableaux
In this paper we study inversions within restricted fillings of Young tableaux. These restricted fillings are of interest because they describe geometric properties of certain sub...
Sarah Iveson
DM
1998
72views more  DM 1998»
13 years 4 months ago
Kazhdan-Lusztig polynomials for certain varieties of incomplete flags
Abstract. We give explicit formulas for the Kazhdan-Lusztig P- and Rpolynomials for permutations coming from the variety F1,n−1 of incomplete flags consisting of a line and a hy...
Boris Shapiro, Michael Shapiro, Alek Vainshtein
JCT
2008
70views more  JCT 2008»
13 years 4 months ago
Bruhat order, smooth Schubert varieties, and hyperplane arrangements
The aim of this article is to link Schubert varieties in the flag manifold with hyperplane arrangements. For a permutation, we construct a certain graphical hyperplane arrangement....
Suho Oh, Alexander Postnikov, Hwanchul Yoo
DCG
1999
89views more  DCG 1999»
13 years 4 months ago
On Flag Vectors, the Dowling Lattice, and Braid Arrangements
Westudycomplexhyperplanearrangementswhoseintersectionlattices,known as the Dowling lattices, are a natural generalization of the partition lattice. We give a combinatorial descript...
Richard Ehrenborg, Margaret Readdy