This is a textbook meant to be used at the advanced undergraduate or graduate level. It is an introduction to the theory of Lie groups and Lie algebras. The book treats real and p-adic groups in a unified manner. The first chapter outlines preliminary material that is used in the rest of the book. The second chapter is on analytic functions and is of an elementary nature; this material is included to cater to students who may not be familiar with p-adic fields. The third chapter introduces analytic manifolds and contains standard material; the only notable feature being that it covers both real and p-adic analytic manifolds. Chapters 4 and 5 are on Lie groups. All the standard results on Lie groups are proved here. Some of the proofs are different from those in the earlier literature. The last two chapters are on Lie algebras and cover their structure theory as found in the first of the Bourbaki volumes on the subject. Some proofs here are new.
| ISBN: | 9788195782956 |
| Publication date: | 29th February 2024 |
| Author: | M S Raghunathan |
| Publisher: | Hindustan Book Agency |
| Format: | Hardback |
| Pagination: | 160 pages |
| Series: | Texts and Readings in Mathematics |
| Genres: |
Algebra Algebraic geometry Groups and group theory |
This is a textbook meant to be used at the advanced undergraduate or graduate level. It is an introduction to the theory of Lie groups and Lie algebras. The book treats real and p-adic groups in a unified manner. The first chapter outlines preliminary material that is used in the rest of the book. The second chapter is on analytic functions and is of an elementary nature; this material is included to cater to students who may not be familiar with p-adic fields. The third chapter introduces analytic manifolds and contains standard material; the only notable feature being that it covers both real and p-adic analytic manifolds. Chapters 4 and 5 are on Lie groups. All the standard results on Lie groups are proved here. Some of the proofs are different from those in the earlier literature. The last two chapters are on Lie algebras and cover their structure theory as found in the first of the Bourbaki volumes on the subject. Some proofs here are new.
Lie Groups and Lie Algebras features in the following genres: Algebra, Algebraic geometry, Groups and group theory
Lie Groups and Lie Algebras is available in Hardback
Lie Groups and Lie Algebras was written by M S Raghunathan and published by Hindustan Book Agency
Lie Groups and Lie Algebras has 160 pages
Yes it is part of Texts and Readings in Mathematics series
£40.50