Linear Representation of Lie Group

TL;DR

This work explores the use of differential equations to represent Lie groups and their actions on vector spaces, providing a mathematical framework for understanding their structure and representations.

Contribution

It introduces a linear differential equation approach to studying Lie group representations, offering a new perspective on their mathematical properties.

Findings

Established a differential equation framework for Lie group representations

Provided insights into the structure of Lie groups through linear equations

Enhanced understanding of Lie group actions in vector spaces

Abstract

In this book, I explored differential equations for operation in Lie group and for representations of group Lie in a vector space.