41 citations · 43 across the 6 of their papers we have counts for
7 papers
Divergence, thickness and hypergraph index for general Coxeter groups
Pallavi Dani, Yusra Naqvi, Ignat Soroko +1
We study divergence and thickness for general Coxeter groups . We first characterise linear divergence, and show that if has superlinear divergence then its divergence is at…
Interpolation polynomials, bar monomials, and their positivity
Yusra Naqvi, Siddhartha Sahi, Emily Sergel
We prove a positivity result for interpolation polynomials that was conjectured by Knop and Sahi. These polynomials were first introduced by Sahi in the context of the Capelli eige…
A gallery model for affine flag varieties via chimney retractions
Elizabeth Milićević, Yusra Naqvi, Petra Schwer +1
This paper provides a unified combinatorial framework to study orbits in certain affine flag varieties via the associated Bruhat-Tits buildings. We first formulate, for arbitrary a…
A combinatorial formula for certain binomial coefficients for Jack polynomials
Yusra Naqvi, Siddhartha Sahi
We present a decomposition of the generalized binomial coefficients associated with Jack polynomials into two factors: a stem, which is described explicitly in terms of hooks of th…
Equivariant simplicial reconstruction
Lisa Carbone, Vidit Nanda, Yusra Naqvi
We introduce and analyze parallelizable algorithms to compress and accurately reconstruct finite simplicial complexes that have non-trivial automorphisms. The compressed data -- ca…
A product formula for certain Littlewood-Richardson coefficients for Jack and Macdonald polynomials
Yusra Naqvi
Jack polynomials generalize several classical families of symmetric polynomials, including Schur polynomials, and are further generalized by Macdonald polynomials. In 1989, Richard…
Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits
Lisa Carbone, Sjuvon Chung, Leigh Cobbs +4
We give a criterion for a Dynkin diagram, equivalently a generalized Cartan matrix, to be symmetrizable. This criterion is easily checked on the Dynkin diagram. We obtain a simple…