Results 221 to 230 of about 520,160 (245)
Postnikov–Stanley Linial arrangement conjecture
A characteristic polynomial is an important invariant in the field of hyperplane arrangement. For the Linial arrangement of any irreducible root system, Postnikov and Stanley conjectured that all roots of the characteristic polynomial have the same real ...
Shigetaro Tamura
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Stanley's Conjecture on the Schur Positivity of Distributive Lattices
In this paper we solve an open problem on distributive lattices, which was proposed by Stanley in 1998. This problem was motivated by a conjecture due to Griggs, which equivalently states that the incomparability graph of the boolean algebra $B_n$ is ...
Grace M. X. Li +3 more
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Excluded permutation matrices and the Stanley–Wilf conjecture
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Gábor Tardos
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Stanley's Simplicial Poset Conjecture, After M. Masuda
Communications in Algebra, 2006ABSTRACT M. Masuda recently provided the missing piece proving a conjecture of R.P. Stanley on the characterization of f-vectors for Gorenstein∗ simplicial posets. We propose a slight simplification of Masuda's proof.
Ezra Miller, Vic Reiner
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A Converse to Stanley's Conjecture for Sl 2
Proceedings of the American Mathematical Society, 1994Let \(G = Sl(V)\) where \(V\) is a two-dimensional vector space over an algebraically closed field \(k\) of characteristic zero. Define \(W = \bigoplus^ m_{i=1} S^{d_ i}V\), \(d = \dim W = \sum (d_ i + 1)\), and \(R = SW\), where \(SW\) denotes the symmetric algebra of \(W\).
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An improved stanley guidance law for large curvature path following of unmanned surface vehicle
Ocean Engineering, 2022Xiaofei Yang, , Hui Ye
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Bacillus subtilis biofilm formation and social interactions
Nature Reviews Microbiology, 2021Sofia Arnaouteli +2 more
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