Semisolvability of Semisimple Hopf Algebras of Low Dimension. (Record no. 69636)
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| fixed length control field | 04145nam a22004693i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114105 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124600.0 |
| 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 | 240724s2007 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470404789 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821839485 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114105 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114105 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039724 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981671 |
| 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 | QA613.8 -- .N38 2007eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.55 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Natale, Sonia. |
| 245 10 - TITLE STATEMENT | |
| Title | Semisolvability of Semisimple Hopf Algebras of Low Dimension. |
| 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 | 2007. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2007. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (138 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.186 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Introduction and Main Results -- Conventions and Notation -- Chapter 1. Semisimple Hopf Algebras -- 1.1. Algebra structure -- 1.2. Irreducible characters -- 1.3. Coinvariants of Hopf algebra maps -- 1.4. Yetter- Drinfeld modules -- 1.5. Yetter- Drinfeld modules and the character algebra -- 1.6. One dimensional Yetter- Drinfeld modules -- 1.7. H[sup(coB)] as a left coideal of H -- Chapter 2. The Nichols-Richmond Theorem -- 2.1. Irreducible characters of degree 2 -- 2.2. The Nichols-Richmond theorem -- 2.3. An application to D(H) -- 2.4. Existence of proper Hopf subalgebras -- 2.5. Hopf subalgebras of index 3 -- Chapter 3. Quotient Coalgebras -- 3.1. A multiplicity formula -- 3.2. Stable subcoalgebras -- 3.3. Quotients modulo group- like Hopf subalgebras -- 3.4. On the structure of G(H) -- 3.5. A criterion of normality -- Chapter 4. Braided Hopf Algebras -- 4.1. Radford- Majid biproduct construction -- 4.2. Coalgebra structure of R -- 4.3. Hopf subalgebras -- 4.4. Biproducts over finite groups -- 4.5. Cocommutative braided Hopf algebras -- 4.6. Cocommutative braided Hopf algebras over Z[sub(p)] -- 4.7. Transitive actions of central subgroups -- Chapter 5. Cocycle Deformations of Some Hopf Algebras -- 5.1. Lifting from abelian groups -- 5.2. Examples in dimension pq[sup(2)] -- p = 1 mod q -- 5.3. Examples in dimension pq[sup(2)] -- q = 1 mod p -- 5.4. Normal Hopf subalgebras in cocycle twists -- Chapter 6. Dimension 24 -- 6.1. Possible (co)-algebra structures -- 6.2. Upper and lower semisolvability -- Chapter 7. Dimension 30 -- 7.1. Possible (co)-algebra structures -- 7.2. Classification -- Chapter 8. Dimension 36 -- 8.1. Reduction of the problem -- 8.2. Main result -- Chapter 9. Dimension 40 -- 9.1. Reduction of the problem -- 9.2. Main result -- Chapter 10. Dimension 42 -- 10.1. Possible (co)-algebra structures. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 10.2. Classification -- Chapter 11. Dimension 48 -- 11.1. First reduction -- 11.2. Further reductions -- 11.3. Main result up to cocycle twists -- 11.4. Main result -- Chapter 12. Dimension 54 -- 12.1. First reduction -- 12.2. Main result -- Chapter 13. Dimension 56 -- 13.1. First reduction -- 13.2. Main result -- Appendix A. Drinfeld Double of H[sub(8)] -- A.1. Structure of D(H[sub(8)]) -- A.2. Proof of Theorem A.1.1 -- A.3. Proof of Theorem A.1.2 -- 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 | Hopf algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Quantum groups. |
| 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 | Natale, Sonia |
| Title | Semisolvability of Semisimple Hopf Algebras of Low Dimension |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2007 |
| International Standard Book Number | 9780821839485 |
| 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=3114105">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114105</a> |
| Public note | Click to View |
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