A First Course William Fulton is a study book that has the primary objective of introducing a beginner to the finite-dimensional representations of Lie groups and Lie algebras. This field, which is central to modern mathematics, investigates how groups can act on vector spaces.
Contents and approach
The text stands out for its clear and accessible approach, aimed at readers who want to understand the basics of representation theory. The book covers the fundamental concepts of groups and group actions, and explains how abstract objects are often replaced by vector spaces, such as cohomology groups or tangent spaces. As a result, the book is suitable for mathematicians who want to delve into the broad applications of representation theory.
Product information
- Author: William Fulton
- Series: Graduate Texts in Mathematics
- Publisher: Springer-Verlag New York Inc.
- Publication date: 1991-10-22
- Number of pages: 551
- ISBN: 9780387974958
- Subject: Groups and group theory
- BISAC: MATHEMATICS / Group Theory