3 papers
cs.LG2024
Equivariant neural networks and piecewise linear representation theory
Joel Gibson, Daniel Tubbenhauer, Geordie Williamson
Equivariant neural networks are neural networks with symmetry. Motivated by the theory of group representations, we decompose the layers of an equivariant neural network into simpl…
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…