/Dynkin_computations

Primary LanguageJupyter Notebook

Lie Group Machine Learning

Introduction

This is an auxiliary library for my final year project, aiming to create a tensor-based implementation of structure theory Lie algebra. Main goal of this project is to realize the Dynkin classification given the structure constants of a semisimple Lie algebra.

Basic

Contains basic definition and operation for Lie algebra.

GeneralLinear

Some definitions and operations for general linear Lie algebra.

Reference

  • Computing Cartan subalgebras of Lie algebras, De Graaf et al., 1996
  • Handbook of Computatational Group Theory, O’Brien, 2005