On the shape of bruhat intervals

WebOn the shape of Bruhat intervals Pages 799-817 by Anders Björner , Torsten Ekedahl From volume 170-2 Online Content on Project Euclid 2024–2024 Online Content on JSTOR 1884--2024 To appear in forthcoming issues 2024 Vol. 197 1 2 3 2024 Vol. 196 1 2 3 Vol. 195 1 2 3 2024 Vol. 194 1 2 3 Vol. 193 1 2 3 2024 Vol. 192 1 2 3 Vol. 191 1 2 3 2024 WebLet H and K be subgroups of a finite group G. This divides G into H-K double cosets. One may ask (1) how many double cosets are there? (2) what are their sizes?

arXiv:1904.10208v1 [math.CO] 23 Apr 2024

WebThe (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 ... WebBruhat interval f-vectors ∃analogy Intervals [e,w] in Bruhat order ↔ Face lattices of convex polytopes Weyl group ↔ rational polytope Schubert variety ↔ toric variety … hovering computer https://techmatepro.com

On the shape of Bruhat intervals

WebCORE is not-for-profit service delivered by the Open University and Jisc. 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 … WebON 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 … hovering crossword

Intersecting principal Bruhat ideals and grades of simple modules

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On the shape of bruhat intervals

Modules of the 0-Hecke algebra and quasisymmetric Schur functions

WebFor w ∈ W J, let f i w, J denote the number of elements of length i below w in Bruhat order on W J (with notation simplified to f i w in the case when W J = W ). We show that. Also, … Web31 de jul. de 2005 · On the shape of Bruhat intervals @article{Bjorner2005OnTS, title={On the shape of Bruhat intervals}, author={Anders Bjorner and Torsten Ekedahl}, …

On the shape of bruhat intervals

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WebBruhat intervals and show how it can be used to classify the intervals. We sketch the algorithm of the inductive classification of Bruhat intervals of given length based on the … http://emis.maths.adelaide.edu.au/journals/SLC/wpapers/s61vortrag/bjoerner.pdf

WebOn the shape of Bruhat intervals ***** EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia … WebFurthermore, we express when an initial and final interval of the f's is symmetric around the middle in terms of Kazhdan-Lusztig polynomials. It is also shown that if W is finite then …

WebArticles with article keyword: Bruhat order. On the shape of Bruhat intervals. Pages 799-817 by Anders Björner , Torsten Ekedahl From volume 170-2. Search for: Online … Web15 de jun. de 2024 · We prove that the grades of simple modules indexed by boolean permutations, over the incidence algebra of the symmetric group with respect to the Bruhat order, are given by Lusztig's a-function....

WebOn the shape of Bruhat intervals By Anders Bjorner and Torsten Ekedahl Abstract Let (W, S) be a crystallographic Coxeter group (this includes all finite and affine Weyl groups), …

Webweak Bruhat interval modules. We prove that this is a natural lift of the Mackey formula due to Bergeron and Li [3], which works for elements of the Grothendieck ring of 0-Hecke … hovering craftWebTour 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 hovering cssWebWe 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). … how many grams in 4 oz of fishWeb19 de jun. de 2014 · In this paper we study combinatorial aspects of Bruhat interval polytopes. For example, we give an inequality description and a dimension formula for … hovering computer mouseWebMotivated 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 … how many grams in 4 oz of meatWeb1 de abr. de 2024 · Classical conformal blocks via AdS/CFT correspondence. Article. Full-text available. Apr 2015. J HIGH ENERGY PHYS. Kostya Alkalaev. Vladimir Belavin. View. Show abstract. hovering cursor opens fileWebmaximal element. The main result of §3 is that every Bruhat interval [u, w] in W/V is lexicographically shellable (cf. Definition 3.1). From this combinatorial property we deduce that the simplicial complex of chains in a nonempty open Bruhat interval (u,w) of W/V triangulates a sphere or a ball, and is therefore hovering cup