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 … 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 …

On the shape of Bruhat intervals - ResearchGate

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 … WebThe (strong) Bruhat order is defined by u ≤ v if some substring of some (or every) reduced word for v is a reduced word for u. (Note that here a substring is not necessarily a … bitesize reduce reuse recycle

Intervals and factors in the Bruhat order - ResearchGate

Web1 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. 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. Web6 de mar. de 2014 · We start with the observation that every indecomposable direct summand of these modules has a basis isomorphic to a left weak Bruhat interval of S n as posets when it is equipped with the... bitesize reflection