Science Score: 67.0%
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○Scientific vocabulary similarity
Low similarity (11.5%) to scientific vocabulary
Keywords
Repository
Category Theory Framework
Basic Info
Statistics
- Stars: 17
- Watchers: 2
- Forks: 5
- Open Issues: 1
- Releases: 13
Topics
Metadata Files
README.md
TensorCategories.jl
TensorCategories is a package under development with the intention to provide a framework as well a examples for computations in the realm of categories.
Installation
You need to have Julia installed. To use TensorCategories do the following:
julia-repl
julia> import Pkg
julia> Pkg.add("TensorCategories")
Usage
TensorCategories relies on the algebraic structures from the OSCAR-System. Here a minimal usage Example.
@repl
using TensorCategories, Oscar;
C = graded_vector_spaces(QQ, symmetric_goup(3))
Z = center(C)
simples(Z)
smatrix(Z)
Features
TensorCategories provides a vast framework for constructions with finite tensor categories and especially fusion categories.
The Center of a fusion category
The current pinnacle feature is the computation of the center of a fusion category in explicit form. The theoretical ground work for this approach is layed in https://arxiv.org/abs/2406.13438
Acknowledgements
This project was started under supervision of Prof. Ulrich Thiel (University of Kaiserslautern). This work is a contribution to the SFB-TRR 195 'Symbolic Tools in Mathematics and their Application' of the German Research Foundation (DFG).
Owner
- Login: FabianMaeurer
- Kind: user
- Repositories: 1
- Profile: https://github.com/FabianMaeurer
Citation (CITATION.cff)
cff-version: 1.2.0
title: "TensorCategories.jl"
version: 0.5.2
license: "MIT"
type: software
abstract: "TensorCategories provides a vast framework to compute categorical constructions of fusion categories explictly. These include the center and module categories"
message: "If you use this software, please cite it as below."
doi: 10.5281/zenodo.15805916
url: "https://github.com/FabianMaeurer/TensorCategories.jl"
authors:
- given-names: Fabian
family-names: Maeurer
affiliation: RPTU Kaiserslautern-Landau
keywords:
- Tensor Categories
- Fusion Categories
- Drinfeld Center
- Module Categories
GitHub Events
Total
- Create event: 7
- Issues event: 2
- Release event: 5
- Watch event: 8
- Issue comment event: 22
- Push event: 144
- Pull request event: 3
- Fork event: 1
Last Year
- Create event: 7
- Issues event: 2
- Release event: 5
- Watch event: 8
- Issue comment event: 22
- Push event: 144
- Pull request event: 3
- Fork event: 1
Dependencies
- actions/checkout v2 composite
- julia-actions/setup-julia latest composite
- JuliaRegistries/TagBot v1 composite
- actions/checkout v2 composite
- codecov/codecov-action v2 composite
- julia-actions/julia-buildpkg latest composite
- julia-actions/julia-processcoverage v1 composite
- julia-actions/julia-runtest latest composite
- julia-actions/setup-julia latest composite