Showing math.RTShow all
3 papers · 1 filter
math.RT2025
A remarkable functor on -modules
Joe Baine, Tasman Fell, Anna Romanov +2
We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a tensor functor and sen…
math.RT2023
4-Strand Burau is Unfaithful Modulo 5
Joel Gibson, Geordie Williamson, Oded Yacobi
We introduce a new algorithm for finding kernel elements in the Burau representation. Our algorithm applies reservoir sampling to a statistic on matrices which is closely correlate…
math.RT2022
Calculating the -canonical basis of Hecke algebras
Joel Gibson, Lars Thorge Jensen, Geordie Williamson
We describe an algorithm for computing the -canonical basis of the Hecke algebra, or one of its antispherical modules. The algorithm does not operate in the Hecke category direc…