representation-theory

There are 4 repositories under representation-theory topic.

• gap-system / gap

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

  algebracomputer-algebracomputer-algebra-systemdiscrete-mathematicsgroup-theorymathmathematicsrepresentation-theory
  Language:GAP 825
• MorphoSymm

  Danfoa / MorphoSymm

  Tools for exploiting Morphological Symmetries in robotics

  legged-roboticsroboticssymmetriesequivariant-controlsymmetric-robotsdynamical-systemsrepresentation-learningequivariant-neural-networksgroup-theoryinvariant-learningrepresentation-theorysymmetry-analysismorphological-symmetries
  Language:Python 51

• spglib / spgrep

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

  crystallographygroup-theoryirreducible-representationsmaterials-sciencepythonrepresentation-theory
  Language:Python 46

• sophiaas / bispectral-networks

  Official PyTorch implementation of Bispectral Neural Networks, ICLR 2023

  bispectrumequivariancefourier-analysisgroup-theoryinvarianceneural-networksrepresentation-theory
  Language:Jupyter Notebook 21

• vitalab / neuralteleportation

  Isomorphisms of quiver representations applied to neural networks.

  deep-learningrepresentation-theoryquiver-representationsmachine-learningpytorch
  Language:Python 16

• hellpig / SU-tools

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

  freudenthals-formulagroup-theoryirreducible-representationsirrepslie-algebralie-groupmatrix-representationsrepresentation-theoryspecial-unitary-groupsu2su3su4su5su-nweyl-dimension-formulayoung-diagramsyoung-tableauanimationflavor-state-multipletshadrons
  Language:Python 12

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

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

  mathematicslecture-notesrepresentation-theorylatexhomological-algebra
  Language:TeX 10

• gap-packages / RepnDecomp

  Decompose representations of finite groups into irreducibles

  group-theoryrepresentation-theory
  Language:GAP 10

• bubblspace / AIOne

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

  deeplearningnlpcourseeducationresearchnlprocknowledge-extractiontier1mlonemathmathematicslinearalgebratopologyrepresentation-theorygeometrypattern-recognitionmachine-learning
  Language:Jupyter Notebook 9

• 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.

  deep-learningmachine-learning-algorithmsrepresentation-theorygroup-theory-algorithmsknot-theoryneural-networksmachine-learningknotsmath-discovery-ai
  Language:Python 8

• pnnl / modelsym

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

  deep-learningmachine-learningneural-networksneurips-2022permutationsrepresentation-learningrepresentation-theorystitching
  Language:Jupyter Notebook 7

• gutfeeling / liepy

  Computes representation matrices for Lie groups

  lie-groupssympyparticle-physicstheoretical-physicsrepresentation-theorygroup-theory
  Language:Python 6

• ulthiel / JuLie.jl

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

  combinatoricsmathematicsalgebrajuliarepresentation-theorycomputer-algebra
  Language:Julia 6

• smzg / msinvar

  SageMath code for moduli space invariants

  sagemathalgebraic-geometryrepresentation-theorytheoretical-physics
  Language:Jupyter Notebook 4

• cionx / lie-algebras

  Notes on Lie algebras and their representation theory.

  mathematicsrepresentation-theorylie-algebralecture-noteslatex
  Language:TeX 3

• Cobord / BookDrafts

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

  supersymmetryrepresentation-theorymathematical-physicsintegrable-systemsquantum-field-theorytextbookcluster-algebrasquiver-mutationsquiver-representationsnilpotent-orbitsalgebraic-geometryalgebraic-topologycategory-theorycombinatoricsdifferential-geometrymathematicsphysics
  Language:Python 2

• fuglede / burau

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

  mathtopologybraidsmathematical-physicshacktoberfestburaurepresentation-theorybraid-groupsbraidmathematicsquantum-field-theorytopological-quantum-computation
  Language:Python 2

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

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

  bprobebprobemfuzzy-spaceslie-algebralie-groupsmathematicamathematica-notebookmatricesmatrixmatrix-geometrymatrix-modelsquantum-geometryrepresentation-theoryrepresentationswolfram-mathematica
  Language:Mathematica 2

• 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.

  group-theoryquantumrepresentation-theorysymbolicsymmetry
  Language:Rust 1

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

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

  mathematicsrepresentation-theoryquantum-grouphandoutlatex
  Language:TeX 1

• fuglede / find-the-relation

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

  topologymathbraidsburaumathematicsmathsrepresentation-theorybraidmathematical-physicsquantum-field-theorytopological-quantum-computationbraid-groups
  Language:Rust 1

• juniors90 / CALP-beamer

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

  agdaagda-backendagda-libraryagda-modecalprepresentation-theorytex
  Language:TeX 1

• lan496 / irreps

  juliarepresentation-theorygroup-theory
  Language:Julia 1

• 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.

  gapqpaalgebraalmost-split-sequencesrepresentation-theory
  Language:TeX 1

• THelpin / BrauerAlgebra

  A Mathematica package for studies and applications of the Brauer Algebra

  algebragroup-theoryrepresentation-theory
  Language:Mathematica 1

• THelpin / xBrauer_Bundle

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

  representation-theorytensorsxact
  Language:Mathematica 1

• andrey-krutov / SuperLie

  A package for Lie (super)algebra computations in Mathematica software system

  lielie-algebralie-groupmathematicamathematicsrepresentation-theory
  Language:Mathematica 0

• aritra-bhattacharya-0 / aritra-bhattacharya-0.github.io

  My mathematics research page

  algebraic-combinatoricsaritra-bhattacharyamathematicsrepresentation-theorymatharitra-bhattacharya-math
  Language:HTML 0

• 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.

  algorithmgamegroup-theorymatrix-multiplicationnumpyopen-sourcepermutationspuzzlepythonrubiks-cubesimulationvisualizationrepresentation-theoryrotationsnon-abeliannxnxninteractivelinear-algebrascrambleoperators
  Language:Python 0

• GrumpyNothic / ssimple

  lie-algebramathematicsrepresentation-theory
  0

• jacksonwalters / dft-finite-groups

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

  cyclic-groupdiscrete-fourier-transformfinite-fieldsfourier-transformmodularrepresentation-theorysymmetric-group
  Language:Jupyter Notebook 0

• mlyean / symchar

  Characters of the symmetric group in Haskell

  algebrarepresentation-theorysymmetric-group
  Language:Haskell 0

• samueleblanc / simple_adversarial_detection

  Very simple version of the code used for the experiments in the paper Hidden Activations Are Not Enough: A General Approach to Neural Networks Predictions.

  adversarial-attacksmachine-learningout-of-distribution-detectionquiver-representationsrepresentation-theory
  Language:Python 0

• THelpin / SymmetricFunctions

  Working with symmetric functions (elementary, complete homogeneous, power sum, monomial and Schur) and associated combinatorics

  combinatoricsrepresentation-theoryschur-polynomialssymmetric-functions
  Language:Mathematica 0

• vendramin / representation

  Representation Theory of Algebras (VUB)

  booklecture-notespdfgroup-theorymathmathematicsrepresentation-theoryalgebra
  Language:TeX 0

• volkhovcossack / M1-AAPM

  CM uniquement.

  differential-geometryfunctional-analysismathsprobability-theoryrepresentation-theory
  Language:TeX 0