63 citations · 229 across the 16 of their papers we have counts for
19 papers
On a Schur-positive function
Peter J. McNamara
We prove Schur-positivity for a family of symmetric functions.
On a braid group action
Peter J. McNamara
We discuss some consequences of the invertibility of Rickard complexes in a categorified quantum group. Results include a description of reflection functors for quiver Hecke algebr…
Cluster Monomials are Dual Canonical
Peter J. McNamara
Kang, Kashiwara, Kim and Oh have proved that cluster monomials lie in the dual canonical basis, under a symmetric type assumption. This involves constructing a monoidal categorific…
Singularities of Schubert Varieties within a Right Cell
Martina Lanini, Peter J. McNamara
We describe an algorithm which pattern embeds, in the sense of Woo-Yong, any Bruhat interval of a symmetric group into an interval whose extremes lie in the same right Kazhdan-Lusz…
Non-perverse parity sheaves on the flag variety
Peter J. McNamara
We give examples of non-perverse parity sheaves on Schubert varieties for all primes.
Monoidality of Kato's Reflection Functors
Peter J. McNamara
Kato has constructed reflection functors for KLR algebras which categorify the braid group action on a quantum group by algebra automorphisms. We prove that these reflection functo…