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This is the first text to provide a basic algebraic introduction to Lie algebras. Based on a lecture course given by the author to fourth-year undergraduates, it starts with the basic concepts and leads up to the classification of the semisimple Lie algebras over the complex field.
Most of the mathematics involved is linear algebra and a summary of the necessary background is provided in an appendix, as are more technical proofs. There are plenty of worked examples and exercises, so the text will be ideal for self-study.
The concluding chapter provides an overview of related topics and comments on recent developments, again at a basic level, offering projects for individual study or follow-up topics for students to present.