Main development repository for GAP - Groups, Algorithms, Programming, a System for Computational Discrete Algebra

On-the-fly generator of space-group irreducible representations

Official PyTorch implementation of Bispectral Neural Networks, ICLR 2023

Isomorphisms of quiver representations applied to neural networks.

Interactive exploration of equivariant neural networks on homogeneous spaces, with a focus on the sphere S² as SO(3)/SO(2). From Lecture 8 of the Lie groups course with Quantum Formalism

many powerful tools for studying irreducible representations of SU(n), including making animations of hadron flavor-state multiplets

A computer algebra system in Smalltalk

Decompose representations of finite groups into irreducibles

Notes for the lecture course “Foundations in Representation Theory”.

AIDN is a deep learning algorithm to represent any finitely-presented algebraic object with a set of deep neural networks.

Code to run the experiments of the Neurips 2022 paper On the Symmetries of Deep Learning Models and their Internal Representations.

Geometric algebra crate for Rust

Computes representation matrices for Lie groups

Mathematically sound structures and fast algorithms for things around representation theory, especially algebraic Lie theory and accompanying combinatorics.

SageMath code for moduli space invariants

Notes on Lie algebras and their representation theory.

Drafts of textbooks. One on the math inspired by supersymmetric field theories. One on low dimensional (below 3+1) integrable physics.

Computes the generators for a given representation of SU2 and SU3.

Search for non-trivial elements of the kernel of the Burau representation of the four-strand braid group.

Handout for a seminar talk about the quantum group U_q(sl2).