An Introduction to Lie Groups and the Geometry of Homogeneous Spaces (Record no. 60382)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02018 a2200229 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240820b2003 |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780821827789 (PB) |
| 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 | ARV |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Arvanitoyeorgos, Andreas |
| 245 ## - TITLE STATEMENT | |
| Title | An Introduction to Lie Groups and the Geometry of Homogeneous Spaces |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | AMS |
| Year of publication | 2003 |
| Place of publication | Rhode Island |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xvi, 141p. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Student mathematical library, 1520-9121 |
| Volume number/sequential designation | 22 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes Bibliography (129-137) and index |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Lie groups <br/>2. Maximal tori and the classification theorem <br/>3. The geometry of a compact Lie group <br/>4. Homogeneous spaces <br/>5. The geometry of a reductive homogeneous space <br/>6. Symmetric spaces <br/>7. Generalized flag manifolds <br/>8. Advanced topics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | It is remarkable that so much about Lie groups could be packed into this small book. But after reading it, students will be well-prepared to continue with more advanced, graduate-level topics in differential geometry or the theory of Lie groups. The theory of Lie groups involves many areas of mathematics. In this book, Arvanitoyeorgos outlines enough of the prerequisites to get the reader started. He then chooses a path through this rich and diverse theory that aims for an understanding of the geometry of Lie groups and homogeneous spaces. In this way, he avoids the extra detail needed for a thorough discussion of other topics. Lie groups and homogeneous spaces are especially useful to study in geometry, as they provide excellent examples where quantities (such as curvature) are easier to compute. A good understanding of them provides lasting intuition, especially in differential geometry. The book is suitable for advanced undergraduates, graduate students, and research mathematicians interested in differential geometry and neighboring fields, such as topology, harmonic analysis, and mathematical physics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Homogeneous spaces |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Lie groups |
| 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 | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | First Floor, Rack No: 28, Shelf No: 45 | 512 ARV | 78182 | BOOKS |