Lie groups and lie algebras

By:

Raghunathan, M. S

Material type: Text

TextLanguage: ENG Series: Texts and readings in mathematics ; Vol. 85Publication details: New Delhi: Hindistan Book Agency, c2024Edition: 1st edDescription: xi, 147p. : hbk. ; 24cmISBN:

9788195782956

Subject(s):

DDC classification:

512.482 RAG 23rd

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. Includes bibliographic references, index and the alphabet in roman and gothic scripts.

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Item type	Current library	Call number	Status	Date due	Barcode
Books	Vigyanpuri Campus	512.482 RAG (Browse shelf(Opens below))	Available		007161
Books	Vigyanpuri Campus	512.482 RAG (Browse shelf(Opens below))	Available		007162

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Previous	512.482 BUM Lie Groups /	512.482 BUM Lie Groups /	512.482 HAL Lie groups, lie algebras, and representations : An elementary introduction	512.482 RAG Lie groups and lie algebras	512.482 RAG Lie groups and lie algebras	512.482 VAR/L Lie groups, Lie algebras, and their representations /	512.5 ALX Linear algebra done right/	Next

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.

Includes bibliographic references, index and the alphabet in roman and gothic scripts.

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