The agda-unimath library
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Updated
May 11, 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
Bruteforce algorithm for creating all elements of a group presented by generators and relations.
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.
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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