2 citations · 2 across the 3 of their papers we have counts for
6 papers
The parabolic coset structure of Bruhat intervals in Coxeter groups
Suho Oh, Edward Richmond
In this paper, we study the decomposition of Bruhat intervals in a Coxeter group with respect to cosets of a parabolic subgroup. Our main result is that the intersection of a lower…
On the generating function for intervals in Young's lattice
Faqruddin Azam, Edward Richmond
In this paper, we study a family of generating functions whose coefficients are polynomials that enumerate partitions in lower order ideals of Young's lattice. Our main result is t…
An equivariant basis for the cohomology of Springer fibers
Martha Precup, Edward Richmond
Springer fibers are subvarieties of the flag variety that play an important role in combinatorics and geometric representation theory. In this paper, we analyze the equivariant coh…
Noncommutative LR coefficients and crystal reflection operators
Edward Richmond, Vasu Tewari
We relate noncommutative Littlewood-Richardson coefficients of Bessenrodt-Luoto-van Willigenburg to classical Littlewood-Richardson coefficients via crystal reflection operators. A…
The Nash blow-up of a cominuscule Schubert variety
Edward Richmond, William Slofstra, Alexander Woo
We compute the Nash blow-up of a cominuscule Schubert variety. In particular, we show that the Nash blow-up is algebraically isomorphic to another Schubert variety of the same Lie…
Smooth Schubert varieties in the affine flag variety of type
Edward Richmond, William Slofstra
We show that every smooth Schubert variety of affine type is an iterated fibre bundle of Grassmannians, extending an analogous result by Ryan and Wolper for Schubert va…