Abstract
The simplest example of a Lie group is the group of rotations of the plane, with elements parametrized by a single number, the angle of rotation \(\theta \). It is useful to identify such group elements with unit vectors \(e^{i\theta }\) in the complex plane.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Peter Woit
About this chapter
Cite this chapter
Woit, P. (2017). The Group U(1) and its Representations. In: Quantum Theory, Groups and Representations. Springer, Cham. https://doi.org/10.1007/978-3-319-64612-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-64612-1_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-64610-7
Online ISBN: 978-3-319-64612-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)