WBase: a C package to reduce tensor products of Lie algebra representations. Description and new developments

TL;DR

WBase V2.0 is a C package designed to efficiently compute tensor product reductions of Lie algebra representations, featuring table-generation and Young tableaux display capabilities, advancing computational tools in algebra.

Contribution

The paper introduces WBase V2.0, a C package that enhances Lie algebra representation computations with new features like table-generation and Young tableaux visualization.

Findings

Successfully implements tensor product reduction algorithms.

Provides new visualization tools for Lie algebra representations.

Enhances computational efficiency and usability.

Abstract

A non trivial application of a modern computer language ("C") in a highly structured and object-oriented fashion is presented. The contest is that of Lie algebra representations (irreps), specifically the problem of reducing the products of irreps with the weight tree algorithm. The new WBase V2.0 version with table-generation and Young tableaux display capabilities is introduced.