On the shape of bruhat intervals
Web31 de ago. de 2005 · One of the most celebrated combinatorial and algebraic problems is to study its Bruhat graph and its Bruhat intervals [a, b] = {z ∈ S n : a ≤ z ≤ b} for a, b ∈ S n … WebCORE is not-for-profit service delivered by the Open University and Jisc.
On the shape of bruhat intervals
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WebMotivated by the recent discovery of a simple quantization procedure for Schubert polynomials we study the expansion of Schur and Schubert polynomials into standard elementary monomials (SEM). The SEM expansion of Schur polynomials can be described algebraically by a simple variant of the Jacobi–Trudi formula and combinatorially by a … Web19 de nov. de 2012 · From a combinatorial perspective, we establish three inequalities on coefficients of $R$- and Kazhdan-Lusztig polynomials for crystallographic Coxeter groups: (1) Nonnegativity of $...
Weball parabolic Bruhat intervals in finite Coxeter groups are actually Coxeter matroids as a consequence of the weak generalized lifting property. Furthermore, we show that, also in this level of generality, faces of Bruhat interval polytopes are themselves Bruhat interval polytopes. The proof is first established in the standard, i.e. Web1 de mar. de 2013 · We determine all isomorphism classes of intervals of length 4 in the Bruhat order on the Weyl groups A4, B4, D4 and F4. It turns out that there are 24 of …
WebA Bruhat interval is a diagram that represents all the different ways you could reverse the order of a collection of objects by only swapping two of them at a time. The KL polynomials tell mathematicians something deep … WebWe give the formula for multiplying a Schubert class on an odd orthogonal or symplectic flag manifold by a special Schubert class pulled back from a Grassmannian of maximal isotropic subspaces. This is also the formula for multiplying a type B (respectively, type C) Schubert polynomial by the Schur P-polynomial pm (respectively, the Schur Q-polynomial qm). …
WebAbstract. In this paper, we prove that if the dual of a Bruhat interval in a Weyl group is a zircon, then that interval is rationally smooth. Investigating when the converse holds, and drawing inspiration from conjectures by Delanoy, leads us to pose two conjectures. If true, they imply that for Bruhat intervals in type A, duals of smooth ...
WebOn the shape of Bruhat intervals ***** EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia … trwc liveWebTexts with language specifed as french OR fre philips philips threshold cenaWebA standard barely set-valued tableau of shape λ is a filling of the Young diagram λ with integers 1, 2, …, λ + 1 such that the integers are increasing in each row and column, and every cell contains one integer except one cell that contains two integers. Counting standard barely set-valued tableaux is closely related to the coincidental down-degree … trw clipsWebON THE SHAPE OF BRUHAT INTERVALS 803 We start by showing that F is of weight <0. By [BBD82, Corollary 5.4.3] we know that j −Q ‘is pure of weight 0. Let now Nsbe a … trw clevelandWebTour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site trw cofidiWebThe (directed) Bruhat graph bΓ( u,v) has the elements of the Bruhat interval [u,v] as vertices, with directed edges given by multiplication by a reflection. Famously, Γ(b e,v) is regular if and only if the Schubert variety Xv is smooth, and this condition on vis characterized by pattern avoidance. In this work, we classify when the ... trw clipWebBruhat interval f-vectors ∃analogy Intervals [e,w] in Bruhat order ↔ Face lattices of convex polytopes Weyl group ↔ rational polytope Schubert variety ↔ toric variety … trw coil springs catalog