Matrix Lie groups and Lie algebras. (Czech) Zbl 1265.22007

The author gives a first look at Lie groups and Lie algebras. He discusses the Lie groups corresponding to continuous groups of symmetries. He restricts himself to the matrix Lie groups, whose definitions and some proofs are simpler than general ones. Several interesting examples are given.


22E20 General properties and structure of other Lie groups
17B45 Lie algebras of linear algebraic groups