Can I read An Introduction to Lie Groups and the Geometry of Homogeneous Spaces (Student Mathematical Library, V. 22) on EtoBox?

An Introduction to Lie Groups and the Geometry of Homogeneous Spaces (Student Mathematical Library, V. 22) by Andreas Arvanitogeorgos; Andreas Arvanitogeorgos is a nonfiction available to read on EtoBox.

What is An Introduction to Lie Groups and the Geometry of Homogeneous Spaces (Student Mathematical Library, V. 22) about?

It is remarkable that so much about Lie groups could be packed into this small book. But after reading it, students will be well-prepared to continue with more advanced, graduate-level topics in differential geometry or the theory of Lie groups. The theory of Lie groups involves many areas of mathematics: algebra, differential geometry, algebraic geometry, analysis, and differential equations. In this book, Arvanitoyeorgos outlines enough of the prerequisites to get the reader started. He then chooses a path through this rich and diverse theory that aims for an understanding of the geometry of Lie groups and homogeneous spaces. In this way, he avoids the extra detail needed for a thorough discussion of representation theory. Lie groups and homogeneous spaces are especially useful to study in geometry, as they provide excellent examples where quantities (such as curvature) are easier to compute. A good understanding of them provides lasting intuition, especially in differential geometry. The author provides several examples and computations. Topics discussed include the classification of compact and connected Lie groups, Lie algebras, geometrical aspects of compact Lie groups and re

Who reads An Introduction to Lie Groups and the Geometry of Homogeneous Spaces (Student Mathematical Library, V. 22)?

Author

Andreas Arvanitogeorgos; Andreas Arvanitogeorgos

Publisher

American Mathematical Society (AMS)

Published

2003

Language

EN

ISBN

9780821827789

Category

nonfiction

Subjects

Mathematics, Stem