The agda-unimath library
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Updated
May 14, 2025 - Agda
The agda-unimath library
What C# can do for studying Finite Groups, quotient groups, semi-direct products, homomorphisms, automorphisms group, characters table, minimalistic rings and fields manipulations, polynomials factoring, fields extensions and many more...
A computer algebra system in Smalltalk
Amazing package to compute decompositions into irreducibles of explicit group representations and the Wedderburn decomposition for endomorphisms thereof!
♾ (prototype of) library for finite algebra
Finite group study, abelians or not, quotient group, direct product and many more...
Small Groups study in Julia
By using this program I achieved our research result and I give a talk at the 5th International Conference on Mathematical Advances and Applications in Istanbul, Turkey.
Bruteforce algorithm for creating all elements of a group presented by generators and relations.
Bruteforce algorithm for creating all elements of a group presented by generators and relations.
Solvers for two group theory problems: find all homomorphisms Z/nZ to Z/mZ additive groups; find Z/nZ ring multiplicative group, factorize it by cyclic subgroup and print Cayley table for factor-group.
I have compiled (hehe) some interesting code developed throughout my time in the degree I studied.
A Mathematica package developed for mathematical physics research involving Hopf algebras, representation theory, and fusion categories. This package was originally developped to support my research direction in R-parastatistics [Nature 637, 314-318 (2025)], but can also be used more broadly for studying topological order and generalized symmetry.
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