representation-theory

There are 58 repositories under representation-theory topic.

  • gap-system/gap

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

    Language:GAP904391.8k175
  • MorphoSymm

    Danfoa/MorphoSymm

    Tools for exploiting Morphological Symmetries in robotics

    Language:Python881124

  • spglib/spgrep

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

    Language:Python554137

  • sophiaas/bispectral-networks

    Official PyTorch implementation of Bispectral Neural Networks, ICLR 2023

    Language:Jupyter Notebook26126

  • vitalab/neuralteleportation

    Isomorphisms of quiver representations applied to neural networks.

    Language:Python16303

  • brian-hepler-phd/Spherical-CNN

    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

    Language:Jupyter Notebook15

  • hellpig/SU-tools

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

    Language:Python13101

  • len/Arrows

    A computer algebra system in Smalltalk

    Language:Smalltalk11402

  • cionx/foundations-in-representation-theory-notes-ws-18-19

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

    Language:TeX10101

  • gap-packages/RepnDecomp

    Decompose representations of finite groups into irreducibles

    Language:GAP109112

  • bubblspace/AIOne

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

    Language:Jupyter Notebook9106

  • mhajij/Algebraically_Informed_Deep_Nets

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

    Language:Python8100

  • grumyantsev/tclifford

    Geometric algebra crate for Rust

    Language:Rust7101

  • gutfeeling/liepy

    Computes representation matrices for Lie groups

    Language:Python7551

  • pnnl/modelsym

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

    Language:Jupyter Notebook7503

  • ulthiel/JuLie.jl

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

    Language:Julia63107

  • smzg/msinvar

    SageMath code for moduli space invariants

    Language:Jupyter Notebook5333

  • cionx/lie-algebras

    Notes on Lie algebras and their representation theory.

    Language:TeX3100

  • Cobord/BookDrafts

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

    Language:Python2200

  • fuglede/burau

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

    Language:Python2200

  • TSGut/Matrix-Generators-for-SU2-and-SU3

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

    Language:Mathematica2201

  • bangconghuynh/qsym2

    QSym² - a Rust program for Quantum Symbolic Symmetry. This is only a mirror. Please visit the main repository on GitLab. Documentation at https://qsym2.dev.

    Language:Rust1100

  • brian-hepler-phd/sl2C-representations

    An interactive exploration of the representation theory of the Lie algebra sl(2,C), as part of lecture 4 of Quantum Formalism's course on Lie groups with applications.

    Language:Jupyter Notebook1

  • cionx/representation-theory-seminar-ws-19-20

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

    Language:TeX1100

  • DanJSal/rubiks_cube_matrix_representation

    A Python-based Rubik's Cube simulator and visualizer using matrix algebra for efficient representation, manipulation, and visualization of the cube's state. Includes a group theory approach to cube operations and a proof-of-concept visualization module using Matplotlib.

    Language:Python1100

  • fuglede/find-the-relation

    A web-based game to illustrate the faithfulness problem for the Burau representation of the four strand braid group

    Language:Rust1201

  • jacksonwalters/dft-finite-groups

    DFT for cyclic group and symmetric group over finite fields, and number fields in the unitary case.

    Language:Jupyter Notebook1220

  • juniors90/CALP-beamer

    Notes about "An introduction to Finite Group Representation Theory using Agda"

    Language:TeX1100

  • lan496/irreps

    Language:Julia110

  • minhdat296/Foundations-of-geometric-representation-theory

    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 applications, such as deformation theory, the theory of D-modules, and certain motivic/geometric aspects of p-adic Hodge theory.

    Language:TeX1200

  • mtrunkat/diploma-algorithms-in-representation-theory

    This thesis deals with implementation of algorithm for computation of generator of almost split sequences ending at an indecomposable nonprojective module of path algebra over finite quiver.

    Language:TeX1100

  • THelpin/BrauerAlgebra

    A Mathematica package for studies and applications of the Brauer Algebra

    Language:Mathematica1200

  • THelpin/xBrauer_Bundle

    Trace decomposition and irreducible decomposition of a tensor on a Riemannian or symplectic manifold.

    Language:Mathematica1101

  • ystepanoff/PhD

    On an octonionic construction of the groups of type E₆ and ²E₆

    Language:TeX1100

  • DylanJohnston/FpA5-lifting-idempotents

    arXiv:2507.21316 Notebooks showing the lifting of primitive idempotents from the group algebras F_pA_5 (p=2,3,5) to the group algebra QA_5.

    Language:Jupyter Notebook

  • samueleblanc/knowledgematrix

    Compute the knowledge matrices associated to a neural network.

    Language:Python