ArtinTits

ArtinTits is a Python-based software library designed for the analysis and visualization of algebraic structures, particularly those arising in representation theory and algebraic combinatorics. Developed by researchers in the field, it provides tools for studying quivers, preprojective algebras, and related objects, which are fundamental in the study of finite-dimensional algebras and their representations.

The library is named in honor of Emil Artin and Richard Tits, two prominent mathematicians whose work has significantly influenced these areas of mathematics. ArtinTits facilitates computations involving quiver representations, cluster algebras, and other combinatorial structures, making it a valuable resource for both theoretical research and educational purposes. It supports operations such as mutation in cluster algebras, quiver transformations, and the computation of invariants like dimension vectors.

ArtinTits is built on Python, leveraging its extensive ecosystem of scientific computing libraries, including NumPy and SciPy, for efficient numerical and symbolic computations. The software is modular, allowing users to extend its functionality by adding custom modules. It also includes visualization capabilities, enabling researchers to graphically represent quivers, cluster structures, and other algebraic objects.

The project is open-source and maintained by a community of mathematicians and software developers. It is distributed under an open license, encouraging collaboration and contributions from the broader academic community. ArtinTits is particularly useful for researchers working on topics such as cluster algebras, quiver representations, and the geometry of algebraic structures, providing both computational power and theoretical insights.