Results 91 to 100 of about 13,276 (167)
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
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An explicit derivation of the Mobius function for Bruhat order
, 2009 We give an explicit nonrecursive complete matching for the Hasse diagram of the strong Bruhat order of any interval in any Coxeter group. This yields a new derivation of the Mobius function, recovering a classical result due to Verma.Comment: 9 pages ...
Jones, Brant C.
core
Boolean elements in the Bruhat order
Combinatorial TheoryWe show that $w\in W$ is boolean if and only if it avoids a set of Billey-Postnikov patterns, which we describe explicitly. Our proof is based on an analysis of inversion sets, and it is in large part type-uniform. We also introduce the notion of linear pattern avoidance, and show that boolean elements are characterized by avoiding just the $3$ linear ...
Gao, Yibo, Hänni, Kaarel
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Noncrossing partitions and Bruhat order
, 2014 This paper has been withdrawn by the author since it gave rise to a joint work with Nathan Williams, see http://arxiv.org/abs/1503 ...
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Advancing mathematics by guiding human intuition with AI. [PDF]
Nature, 2021 Davies A +13 more
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The Bruhat order and iterated exponentials
Journal of Combinatorial Theory, Series A, 1989 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hierarchical Wilson-Cowan Models and Connection Matrices. [PDF]
Entropy (Basel), 2023 Zúñiga-Galindo WA, Zambrano-Luna BA.
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On Geometry of p-Adic Coherent States and Mutually Unbiased Bases. [PDF]
Entropy (Basel), 2023 Zelenov E.
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On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells
Inventiones Mathematicae, 1985 This paper deals with a refinement of the Bruhat cell decomposition for the generalized flag manifold \(G/B\) of a semisimple algebraic group \(G\). It is obtained by intersecting a given Bruhat cell with all cells of the dual decomposition provided by the orbits of the opposite Borel subgroup \(B_-\) on \(G/B\).
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Optimization Strategies Used for Boosting Piezoelectric Response of Biosensor Based on Flexible Micro-ZnO Composites. [PDF]
Biosensors (Basel), 2022 Zhang X +9 more
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