3 citations · 3 across the 3 of their papers we have counts for
5 papers
The ABC's of affine Grassmannians and Hall-Littlewood polynomials
Avinash J. Dalal, Jennifer Morse
We give a new description of the Pieri rule for k-Schur functions using the Bruhat order on the affine type-A Weyl group. In doing so, we prove a new combinatorial formula for repr…
A t-generalization for Schubert Representatives of the Affine Grassmannian
Avinash J. Dalal, Jennifer Morse
We introduce two families of symmetric functions with an extra parameter t that specialize to Schubert representatives for cohomology and homology of the affine Grassmannian when t…
Generalized metric properties of spheres and renorming of normed spaces
S. Ferrari, J. Orihuela, M. Raja
We study some generalized metric properties of weak topologies when restricted to the unit sphere of some equivalent norm on a Banach space, and their relationships with other geom…
Positivity of affine charge
Avinash J. Dalal
The branching of (k-1)-Schur functions into k-Schur functions was given by Lapointe, Lam, Morse and Shimozono as chains in a poset on k-shapes. The k-Schur functions are the parame…
Quantum and affine Schubert calculus and Macdonald polynomials
Avinash J. Dalal, Jennifer Morse
We definitively establish that the theory of symmetric Macdonald polynomials aligns with quantum and affine Schubert calculus using a discovery that distinguished weak chains can b…