Abstract
In this chapter we explore some of the constructions in which ideals are involved. We shall see that in the theory of Lie algebras ideals play a role similar to that played by normal subgroups in the theory of groups. For example, we saw in Exercise 1.6 that the kernel of a Lie algebra homomorphism is an ideal, just as the kernel of a group homomorphism is a normal subgroup.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag London Limited
About this chapter
Cite this chapter
Erdmann, K., Wildon, M.J. (2006). Ideals and Homomorphisms. In: Introduction to Lie Algebras. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/1-84628-490-2_2
Download citation
DOI: https://doi.org/10.1007/1-84628-490-2_2
Publisher Name: Springer, London
Print ISBN: 978-1-84628-040-5
Online ISBN: 978-1-84628-490-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)