Lie groups and lie algebras
Material type:
TextLanguage: English Series: Texts and Readings in Mathematics ; 85Publication details: New Delhi: Hindustan Book Agency, 2024. Description: xi,146p. HbkISBN: 9788195782956Subject(s): Lie Groups | Lie AlgebrasDDC classification: 512.812 Summary: 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.
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
NBHM Books
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SMS Library | 512.812 RAG-L (Browse shelf(Opens below)) | Available | N368 |
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| 512.812 HUM-I Introduction to lie algebras and representation theory | 512.812 KAC-B Bombay lectures on highest weight representations of infinite dimensional lie algebras | 512.812 KNA-L Lie groups beyond an introduction | 512.812 RAG-L Lie groups and lie algebras | 512.812 SEP-C Compact lie groups | 512.812 SER-L Lie algebras and Lie groups: 1964 lectures given at Harvard University | 512.812 VAR-L Lie groups , lie algebras , and their representations |
Includes references, index, and the alphabet in Roman and Gothic scripts
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.
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