Lie groups and lie algebras (Record no. 60029)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01843nam a22002057a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240207b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9788195782956 (HB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 512 |
| Item number | RAG |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Raghunathan, M.S |
| 245 ## - TITLE STATEMENT | |
| Title | Lie groups and lie algebras |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New Delhi |
| Name of publisher | Hindustan Book Agency |
| Year of publication | 2024 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xi, 146p |
| 490 ## - SERIES STATEMENT | |
| Series statement | Texts and Readings in Mathematics |
| Volume number/sequential designation | 85 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface ix<br/>1. Notational Conventions and Other Preliminaries 1<br/>2. Analytic Functions 23<br/>3. Analytic Manifolds 45<br/>4. Lie Groups 65<br/>5. Lie Groups: The Theorems of Cartan and Lie 85<br/>6. Lie Algebras: Theorems of Engel, Lie and Cartan 105<br/>7. Lie Algebras: Structure Theory 125<br/>References 143<br/>Index 145<br/>The Alphabet in Roman and Gothic Scripts 147 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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.<br/>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.<br/> |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Theory of Lie Groups |
| -- | Lie Algebras |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) | Copy number |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | IMSc Library | IMSc Library | First Floor, Rack No: 29, Shelf No: 12 | 512 RAG | 77501 | BOOKS | National Board for Higher Mathematics (NBHM) | ||||
| 1 | IMSc Library | IMSc Library | First Floor, Rack No: 29, Shelf No: 12 | 512 RAG | 77505 | BOOKS | National Board for Higher Mathematics (NBHM) | 1 |