3 papers
math.RT2026
Lusztig's special pieces conjecture
Daniel Juteau, Paul Levy, Eric Sommers +1
Let be a special nilpotent orbit in the Lie algebra of a simple algebraic group . We give two proofs of the result that every special piece ${\mathcal…
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…