representation-theory

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

Tools for exploiting Morphological Symmetries in robotics

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

Official PyTorch implementation of Bispectral Neural Networks, ICLR 2023

Software for computations with tensor categories

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

Geometric algebra crate for Rust

MLOne Powered by AIEdX. Machine Learning Course for Everyone. Tier1 Basic

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

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

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

Computes representation matrices for Lie groups

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

A research-oriented multiplayer battle game where you train AI agents to compete in a zombie-infested arena!

SageMath code for moduli space invariants

In this project, we attempt to reformulate various notions from classical commutative algebra (such as flatness, regularity, smoothness, etc.) in an entirely categorical manner, so as to be able to later write down their analogues in derived algebraic geometry without having to develop extra theory. We will also be presenting certain application…