Tools for exploiting Morphological Symmetries in robotics

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

Official PyTorch and JAX Implementation of "Harmonics of Learning: Universal Fourier Features Emerge in Invariant Networks"

Permutations of finitely many positive integers

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

Distributed identifier generation service

A python package using machine learning to study symmetry.

Interesting math related algorithms and problems 🔣

Abstract algebra library for Python (Work in progress)

Constructs and visualizes hyperdimensional polytopes created using Wythoff construction

Computes representation matrices for Lie groups

The thompson package: Python~3.3+ classes for computing with with elements of the Higman-Thompson groups G_{n,r}

Official PyTorch Implementation of "A General Framework for Robust G-Invariance in G-Equivariant Networks," NeurIPS 2023

Finds all automorphisms on a given poset. Determines all of the possible permutations that are automorphisms and counts them. Additionally, there is a checker that takes in a poset and a permutation, and then determines if the permutation is an automorphism

Python library for counting graphs using Burnside's lemma and Pólya enumeration theorem.

Experiment on rotation equivariance using Group Convolution U-Nets applied to segmentation of butterfly images

FGroupPy is a software tool that allows you to perform various operations and analyses on mathematical groups. It provides a Python class called Group that represents a group and offers a set of methods to work with groups, including checking group properties, finding subgroups, generating multiplication tables, identifying normal subgroups, etc.

Multi-dimensional T-accounts implementation in Python

An investigation into permutation cycles and orders for 3x3 and 4x4 Rubiks Cubes.

exploring finite groups and their properties with python