On the shape of bruhat intervals
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}, … WebWe investigate the ways in which fundamental properties of the weak Bruhat order on a Weyl group can be lifted (or not) to a corresponding highest weight crystal graph, viewed as a partially ordered set; the latter projects to the weak order via the key map.
On the shape of bruhat intervals
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Webmaximal 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 Web31 de jul. de 2005 · Furthermore, 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 the sequence of f's cannot grow too rapidly. Som result mirroring our …
http://emis.maths.adelaide.edu.au/journals/SLC/wpapers/s61vortrag/bjoerner.pdf WebBruhat interval f-vectors ∃analogy Intervals [e,w] in Bruhat order ↔ Face lattices of convex polytopes Weyl group ↔ rational polytope Schubert variety ↔ toric variety …
WebOn the shape of Bruhat intervals * * * * * * Anders Bjo¨rner Institut Mittag-Leffler * * * * * * S´eminaire Lotharingien de Combinatoire 61 Curia, September, 2008. ... Bruhat order … 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 …
WebA Bruhat interval polytope Qv,w is toric if and only if every subin-terval [x,y] of [v,w] is realized as a face of Qv,w. The above theorem implies that if Qv,w is toric, then its combinatorial type is determined by the poset structure of [v,w], and hence Qv,w and Qv−1,w−1 are combinatorially equivalent.
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). … dalby mental health serviceWebThe Bruhat order encodes algebraic and topological information of Schubert varieties in the flag manifold and possesses rich combinatorial properties. In this talk, we discuss three interrelated stories regarding the Bruhat order: self-dual Bruhat intervals, Billey-Postnikov decompositions, and automorphisms of the Bruhat graph. dalby mental health servicesdalby men\\u0027s shedWebArticles 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 … biotite cleavage or fractureWebOn the shape of Bruhat intervals ***** EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia … biotite and muscoviteWeb1 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. biotite crystal formWebTexts with language specifed as french OR fre dalby mitre 10