Results 11 to 20 of about 294 (153)
Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide [PDF]
Order, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rosário Fernandes +2 more
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A Theorem on Higher Bruhat Orders [PDF]
Discrete & Computational Geometry, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Felsner, S., Weil, H.
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Doubly stochastic matrices and the Bruhat order [PDF]
Czechoslovak Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brualdi, Richard A. +2 more
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Pattern avoidance and the Bruhat order
Journal of Combinatorial Theory, Series A, 2007 The structure of order ideals in the Bruhat order for the symmetric group is elucidated via permutation patterns. A method for determining non-isomorphic principal order ideals is described and applied for small lengths. The permutations with boolean principal order ideals are characterized.
Bridget Eileen Tenner
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Steenrod operations via higher Bruhat orders
Proceedings of the London Mathematical SocietyAbstractThe purpose of this paper is to establish a correspondence between the higher Bruhat orders of Yu. I. Manin and V. Schechtman, and the cup‐ coproducts defining Steenrod squares in cohomology. To any element of the higher Bruhat orders, we associate a coproduct, recovering Steenrod's original ones from extremal elements in these orders. Defining
Guillaume Laplante‐Anfossi +1 more
wiley +6 more sources
Journal of Algebraic Combinatorics, 2016 This paper was previously a part of the paper arXiv:1301.1713. While arXiv:1301.1713 still contains a statement of one of the results of this paper, the proof was removed from arXiv:1301.1713 due to length considerations. 21 pages, 2 figures.
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From Bruhat intervals to intersection lattices and a conjecture of Postnikov [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We prove the conjecture of A. Postnikov that ($\mathrm{A}$) the number of regions in the inversion hyperplane arrangement associated with a permutation $w \in \mathfrak{S}_n$ is at most the number of elements below $w$ in the Bruhat order, and ($\mathrm ...
Axel Hultman +3 more
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On Bruhat posets associated to compositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 The purpose of this work is to initiate a combinatorial study of the Bruhat-Chevalley ordering on certain sets of permutations obtained by omitting the parentheses from their standard cyclic notation.
Mahir Bilen Can, Yonah Cherniavsky
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Latin Squares and their Bruhat Order
Contributions to Discrete Mathematics, 2020 In this paper we investigate the Bruhat order on the class of Latin squares. We study its cover relation and minimal elements. We prove that the class of Latin squares of order $n$, with $n\not\in\{1,2,4\}$, has at least two minimal elements, and we present a process to construct some minimal Latin squares for this relation.
Rosário Fernandes +2 more
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A Divided Difference Operator [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We construct a divided difference operator using GKM theory. This generalizes the classical divided difference operator for the cohomology of the complete flag variety.
Nicholas Teff
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