activity
20132026
most citedCharacteristic-free bases and BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras

12 citations · 33 across the 16 of their papers we have counts for

collaborators

22 papers

math.RT2026

Enumerating cores of charged multipartitions

Thomas Gerber, Emily Norton

Granville and Ono proved that there is an -core partition of for every if and only if , which translates to a statement about the existence of defe…

math.RT2022

Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory

Chris Bowman, Maud De Visscher, Niamh Farrell +2

We define oriented Temperley--Lieb algebras for classical Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan--Lusz…

math.RT2022

The anti-spherical Hecke categories for Hermitian symmetric pairs

Chris Bowman, Maud De Visscher, Amit Hazi +1

We calculate the -Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We…

math.RT2021

Unitary representations of cyclotomic Hecke algebras at roots of unity: combinatorial classification and BGG resolutions

Chris Bowman, Emily Norton, José Simental

We relate the classes of unitary and calibrated representations of cyclotomic Hecke algebras and, in particular, we show that for the most important deformation parameters these tw…

math.RT2021

Decomposition numbers for the principal -block of and

Olivier Dudas, Emily Norton

We compute the decomposition numbers of the unipotent characters lying in the principal -block of a finite group of Lie type or when is an odd pri…

math.RT2020

Unitary representations of type B rational Cherednik algebras and crystal combinatorics

Emily Norton

We compare crystal combinatorics of the level 2 Fock space with the classification of unitary irreducible representations of type B rational Cherednik algebras to study how unitari…