Geometric invariant theory: over the real and complex numbers / (Record no. 1238)
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| 000 -LEADER | |
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| fixed length control field | a |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200921171630.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 200921b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783319659053 (pbk.) : |
| Terms of availability | EURO 54.99 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IISER-BPR |
| Modifying agency | IISER-BPR |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | ENG |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.5 |
| Item number | WAL/G |
| Edition number | 23rd |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Wallach, Nolan R. |
| 245 ## - TITLE STATEMENT | |
| Title | Geometric invariant theory: over the real and complex numbers / |
| Statement of responsibility, etc | Nolan R. Wallach |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Switzerland: |
| Name of publisher, distributor, etc | Springer, |
| Date of publication, distribution, etc | c2017 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiv, 190 p. : |
| Other physical details | ill. ; |
| Dimensions | 23cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Universitytext |
| International Standard Serial Number | 0172-5939 |
| 500 ## - GENERAL NOTE | |
| General note | Includes bibliography and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. This sophisticated topic is elegantly presented with enough background theory included to make the text accessible to advanced graduate students in mathematics and physics with diverse backgrounds in algebraic and differential geometry. Throughout the book, examples are emphasized. Exercises add to the reader's understanding of the material; most are enhanced with hints. The exposition is divided into two parts. The first part, 'Background Theory', is organized as a reference for the rest of the book. It contains two chapters developing material in complex and real algebraic geometry and algebraic groups that are difficult to find in the literature. Chapter 1 emphasizes the relationship between the Zariski topology and the canonical Hausdorff topology of an algebraic variety over the complex numbers. Chapter 2 develops the interaction between Lie groups and algebraic groups. Part 2, 'Geometric Invariant Theory' consists of three chapters (3-5). Chapter 3 centers on the Hilbert-Mumford theorem and contains a complete development of the Kempf-Ness theorem and Vindberg's theory. Chapter 4 studies the orbit structure of a reductive algebraic group on a projective variety emphasizing Kostant's theory. The final chapter studies the extension of classical invariant theory to products of classical groups emphasizing recent applications of the theory to physics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Invariants |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Vigyanpuri Campus | Vigyanpuri Campus | 21/09/2020 | 4 | 3035.50 | 512.5 WAL/G | 004146 | 21/09/2020 | 4364.00 | 21/09/2020 | Books | |||||
| Dewey Decimal Classification | Vigyanpuri Campus | Vigyanpuri Campus | 21/09/2020 | 4 | 3035.50 | 512.5 WAL/G | 004145 | 21/09/2020 | 4364.00 | 21/09/2020 | Books |
