3 papers
math.RT2024
A closed formula in the deformed affine nilHecke algebra
Ben Elias, Daniel Juteau, Benjamin Young
There is a q-deformation of the reflection representation of the affine symmetric group, which arises in the quantum geometric Satake equivalence, and in the study of the complex r…
math.RT2024
Frobenius extensions and the exotic nilCoxeter algebra for
Ben Elias, Daniel Juteau, Benjamin Young
In a previous paper of the first author, the type A affine Cartan matrix was q-deformed to produce a deformation of the reflection representation of the affine Weyl group. This def…
math.CO2024
Bijectivizing the PT-DT Correspondence
Cruz Godar, Benjamin Young
Pandharipande-Thomas theory and Donaldson-Thomas theory (PT and DT) are two branches of enumerative geometry in which particular generating functions arise that count plane-partiti…