Abstract' Homomorphisms of Split Kac-Moody Groups. (Record no. 69579)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04020nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114048 |
| 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 | 240724s2009 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470405304 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821842584 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114048 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114048 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039667 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981573 |
| 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 | QA174.2 -- .C37 2009eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.3/26 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Caprace, Pierre-Emmanuel. |
| 245 10 - TITLE STATEMENT | |
| Title | Abstract' Homomorphisms of Split Kac-Moody Groups. |
| 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 | 2009. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (108 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.198 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Introduction -- Acknowledgements -- Chapter 1. The objects: Kac-Moody groups, root data and Tits buildings -- 1.1. Kac-Moody groups and Tits functors -- 1.2. Root data -- 1.3. Tits buildings -- 1.4. Twin root data and twin buildings: a short dictionary -- Chapter 2. Basic tools from geometric group theory -- 2.1. CAT(0) geometry -- 2.2. Rigidity of algebraic-group-actions on trees -- Chapter 3. Kac-Moody groups and algebraic groups -- 3.1. Bounded subgroups -- 3.2. Adjoint representation of Tits functors -- 3.3. A few facts from the theory of algebraic groups -- Chapter 4. Isomorphisms of Kac-Moody groups: an overview -- 4.1. The isomorphism theorem -- 4.2. Diagonalizable subgroups and their centralizers -- 4.3. Completely reducible subgroups and their centralizers -- 4.4. Basic recognition of the ground field -- 4.5. Detecting rank one subgroups of Kac-Moody groups -- 4.6. Images of diagonalizable subgroups under Kac-Moody group isomorphisms -- 4.7. A technical auxiliary to the isomorphism theorem -- Chapter 5. Isomorphisms of Kac-Moody groups in characteristic zero -- 5.1. Rigidity of SL[sub(2)](Q)-actions on CAT(0) polyhedral complexes -- 5.2. Homomorphisms of Chevalley groups over Q to Kac-Moody groups -- 5.3. Regularity of diagonalizable subgroups -- 5.4. Proof of the isomorphism theorem -- Chapter 6. Isomorphisms of Kac-Moody groups in positive characteristic -- 6.1. On bounded subgroups of Kac-Moody groups -- 6.2. Homomorphisms of certain algebraic groups to Kac-Moody groups -- 6.3. Images of certain small subgroups under Kac-Moody group isomorphisms -- 6.4. Proof of the isomorphism theorem -- Chapter 7. Homomorphisms of Kac-Moody groups to algebraic groups -- 7.1. The non-linearity theorem -- 7.2. A combinatorial characterization of affine Coxeter groups -- 7.3. On infinite root systems. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 7.4. Proof of the non-linearity theorem -- Chapter 8. Unitary forms of Kac-Moody groups -- 8.1. Introduction -- 8.2. Definitions -- 8.3. Isomorphisms of unitary forms -- 8.4. Non-linearity -- Bibliography -- Index -- A -- B -- C -- D -- G -- H -- I -- K -- L -- M -- N -- O -- P -- R -- S -- T -- U -- V -- W. |
| 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 | Isomorphisms (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Automorphisms. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Kac-Moody algebras. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Caprace, Pierre-Emmanuel |
| Title | Abstract' Homomorphisms of Split Kac-Moody Groups |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2009 |
| International Standard Book Number | 9780821842584 |
| 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=3114048">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114048</a> |
| Public note | Click to View |
No items available.