I have created this noncommutative algebraic geometry package 
<https://pkg.go.dev/github.com/fumin/nag> to perform this task.

On Friday, November 28, 2025 at 4:31:57 PM UTC+8 [email protected] wrote:

> Hi fellow Gophers
>
> I wonder if anyone knows of a package that simplifies polynomials on 
> non-commutative algebra?
> As a concrete example, let `a` and `b` satisfy the commutator [a, b] = 
> ab-ba = 1,
> I want to simplify (a+b)^4 into aabb + ab + ...
>
> There are libraries such as NCAlgebra 
> <https://mathweb.ucsd.edu/~ncalg/DOCUMENTATION/index.html#simplifying-polynomial-expresions>
>  and Bergman <https://servus.math.su.se/bergman/manual.html#tth_sEc2.8.2> 
> that 
> do this using Gröbner basis.
> I wonder does anyone know of something similar in Go?
>
> Thanks!
>

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