Results 11 to 20 of about 3,954,992 (288)
Lattice congruences of the weak order [PDF]
Order, 2004 We study the congruence lattice of the poset of regions of a hyperplane arrangement, with particular emphasis on the weak order on a finite Coxeter group.
A. Björner +17 more
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Weak Order on Complete Quadrics [PDF]
Transactions of the American Mathematical Society, 2012 Using an action of the Richardson-Springer monoid on involutions, we study the weak order on the variety of complete quadrics. Maximal chains in the poset are explicitly determined.
Can, Mahir Bilen, Joyce, Michael
core +4 more sources
On the weak order of Coxeter groups [PDF]
Canadian Journal of Mathematics, 2011 This paper provides some evidence for conjectural relations between extensions of (right) weak order on Coxeter groups, closure operators on root systems, and Bruhat order.
Björner +7 more
core +2 more sources
The weak order on Weyl posets [PDF]
Canadian Journal of Mathematics, 2018 We define a natural lattice structure on all subsets of a finite root system that extends the weak order on the elements of the corresponding Coxeter group.
Gay, Joël, Pilaud, Vincent
core +3 more sources
Journal of Pure and Applied Algebra, 2021 arXiv admin note: text overlap with arXiv:1807 ...
Maria João Gouveia, Luigi Santocanale
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The Canonical Complex of the Weak Order
Order, 2022 We define and study the canonical complex of a finite semidistributive lattice $L$. It is the simplicial complex on the join or meet irreducible elements of $L$ which encodes each interval of $L$ by recording the canonical join representation of its bottom element and the canonical meet representation of its top element.
Albertin, Doriann, Pilaud, Vincent
openaire +7 more sources
The Facial Weak Order on Hyperplane Arrangements [PDF]
Discrete & Computational Geometry, 2021 We extend the facial weak order from finite Coxeter groups to central hyperplane arrangements. The facial weak order extends the poset of regions of a hyperplane arrangement to all its faces. We provide four non-trivially equivalent definitions of the facial weak order of a central arrangement: (1) by exploiting the fact that the faces are intervals in
Aram Dermenjian +3 more
openaire +4 more sources
Universal Cycles for Weak Orders [PDF]
SIAM Journal on Discrete Mathematics, 2013 12 pages; final ...
Victoria Horan, Glenn Hurlbert
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Weak-order extensions of an order
Theoretical Computer Science, 1997 In this paper, at first we describe a graph representing all the weak-order extensions of a partially ordered set and an algorithm generating them. Then we present a graph representing all of the minimal weak-order extensions of a partially ordered set, and implying a generation algorithm. Finally, we prove that the number of weak-order extensions of a
Bertet, Karell +2 more
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Global weak solutions to a nonlinear equation with fourth order nonlinearities
Boundary Value Problems, 2023 Global weak solution for a nonlinear model with forth order nonlinearities and conserved quantities is considered. Assuming its initial value satisfies certain assumptions that are weaker than the sign condition, we derive a higher integrability estimate
Jiangang Tang, Miao Liu, Shaoyong Lai
doaj +1 more source