Torsors, Reductive Group Schemes and Extended Affine Lie Algebras. (Record no. 69576)
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| fixed length control field | 04047nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114045 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124558.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2013 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470410636 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821887745 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114045 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114045 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039664 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981500 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA252.3 -- .G55 2013eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.482 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Gille, Philippe. |
| 245 10 - TITLE STATEMENT | |
| Title | Torsors, Reductive Group Schemes and Extended Affine Lie Algebras. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2013. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (124 pages) |
| 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 |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.226 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Generalities on the algebraic fundamental group, torsors, and reductive group schemes -- 2.1. The fundamental group -- 2.2. Torsors -- 2.3. An example: Laurent polynomials in characteristic 0 -- 2.4. Reductive group schemes: Irreducibility and isotropy -- Chapter 3. Loop, finite and toral torsors -- 3.1. Loop torsors -- 3.2. Loop reductive groups -- 3.3. Loop torsors at a rational base point -- 3.4. Finite torsors -- 3.5. Toral torsors -- Chapter 4. Semilinear considerations -- 4.1. Semilinear morphisms -- 4.2. Semilinear morphisms -- 4.3. Case of affine schemes -- 4.4. Group functors -- 4.5. Semilinear version of a theorem of Borel-Mostow -- 4.6. Existence of maximal tori in loop groups -- 4.7. Variations of a result of Sansuc -- Chapter 5. Maximal tori of group schemes over the punctured line -- 5.1. Twin buildings -- 5.2. Proof of Theorem 5.1 -- Chapter 6. Internal characterization of loop torsors and applications -- 6.1. Internal characterization of loop torsors -- 6.2. Applications to (algebraic) Laurent series -- Chapter 7. Isotropy of loop torsors -- 7.1. Fixed point statements -- 7.2. Case of flag varieties -- 7.3. Anisotropic loop torsors -- Chapter 8. Acyclicity -- 8.1. The proof -- 8.2. Application: Witt-Tits decomposition -- 8.3. Classification of semisimple -loop adjoint groups -- 8.4. Action of _{ }(ℤ) -- Chapter 9. Small dimensions -- 9.1. The one-dimensional case -- 9.2. The two-dimensional case -- Chapter 10. The case of orthogonal groups -- Chapter 11. Groups of type ₂ -- Chapter 12. Case of groups of type ₄, ₈ and simply connected ₇ in nullity 3 -- Chapter 13. The case of _{ } -- 13.1. Loop Azumaya algebras -- 13.2. The one-dimensional case -- 13.3. The geometric case -- 13.4. Loop algebras of inner type. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 14. Invariants attached to EALAs and multiloop algebras -- Chapter 15. Appendix 1: Pseudo-parabolic subgroup schemes -- 15.1. The case of _{ ,ℤ} -- 15.2. The general case -- Chapter 16. Appendix 2: Global automorphisms of -torsors over the projective line -- Bibliography. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Kac-Moody algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Linear algebraic groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry, Algebraic. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Pianzola, Arturo. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Gille, Philippe |
| Title | Torsors, Reductive Group Schemes and Extended Affine Lie Algebras |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2013 |
| International Standard Book Number | 9780821887745 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114045">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114045</a> |
| Public note | Click to View |
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