Geometric Invariant Theory (Record no. 427214)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03605nam a22004815i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783319659077 |
| -- | 978-3-319-65907-7 |
| 024 7# - | |
| -- | 10.1007/978-3-319-65907-7 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA564-609 |
| 072 #7 - | |
| -- | PBMW |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT012010 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBMW |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.35 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Wallach, Nolan R. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Geometric Invariant Theory |
| Medium | [electronic resource] : |
| Remainder of title | Over the Real and Complex Numbers / |
| Statement of responsibility, etc | by Nolan R. Wallach. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2017. |
| 300 ## - | |
| -- | XIV, 190 p. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Universitext, |
| -- | 0172-5939 |
| 505 0# - | |
| -- | Preface -- Part I. Background Theory -- 1. Algebraic Geometry -- 2. Lie Groups and Algebraic Groups -- Part II. Geometric Invariant Theory -- 3. The Affine Theory -- 4. Weight Theory in Geometric Invariant Theory -- 5. Classical and Geometric Invariant Theory for Products of Classical Groups -- References -- Index. |
| 520 ## - | |
| -- | 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 #0 - | |
| -- | Geometry, algebraic. |
| 650 #0 - | |
| -- | Group theory. |
| 650 14 - | |
| -- | Algebraic Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11019 |
| 650 24 - | |
| -- | Group Theory and Generalizations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11078 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319659053 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319659060 |
| 830 #0 - | |
| -- | Universitext, |
| -- | 0172-5939 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-319-65907-7 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
No items available.
