The foundation of Lie theory is the exponential map relating Lie algebras to Lie groups which is called the Lie group–Lie algebra correspondence. The subject is part of differential geometry since Lie …

Lie theory, the theory of Lie groups, Lie algebras and their applications, is a fundamental part of mathematics.

The theory of Lie groups was founded in the second half of the 19th century by the Norwegian mathematician Sophus Lie, after whom it is named. It was then developed by many mathematicians …

We give a brief historical overview of Lie theory beginning with the work of Lie. Along the way, we introduce the fundamental definitions of Lie groups and Lie algebras and a few other essential notions.

Lie theory is a branch of mathematics devoted to the study of symmetries that occur throughout mathematics and science. For example the ancient classification of Platonic solids is seen nowadays …

Lie theory, named after the Norwegian mathematician Sophus Lie, is a fundamental area of mathematics that explores the interplay between algebraic structures and geometry.

ez Lecture 1 1 Introduction In this class we'll talk about a classic subject: the theory of simple Lie grou.