On the Spectra of Quantum Groups. (Record no. 69582)
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| fixed length control field | 04618nam a22004573i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114051 |
| 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 | 240724s2014 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470415327 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821891742 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114051 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114051 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039670 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981576 |
| 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 | QC174.17.G7 -- .Y35 2013eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.14/3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Yakimov, Milen. |
| 245 10 - TITLE STATEMENT | |
| Title | On the Spectra of Quantum 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 | 2014. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (104 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.229 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Previous results on spectra of quantum function algebras -- 2.1. Quantized universal enveloping algebras -- 2.2. Type 1 modules and braid group action -- 2.3. -prime ideals of Quantum Groups -- 2.4. Sets of normal elements -- 2.5. Localizations of quotients of _{ }[ ] by its -primes -- 2.6. Spectral decomposition theorem for _{ }[ ] -- 2.7. The De Concini-Kac-Procesi algebras -- 2.8. A second presentation of ^{ }_{±} -- Chapter 3. A description of the centers of Joseph's localizations -- 3.1. Statement of the main result -- 3.2. Associated root and weight spaces -- 3.3. One side inclusion in \thref{BFW-CENTER} -- 3.4. Joseph's description of _{ } -- 3.5. Homogeneous -normal elements of the algebras ^{±}_{ _{±}} -- 3.6. Homogeneous -normal elements of the algebras _{ } -- 3.7. Proof of \thref{BFW-CENTER} -- Chapter 4. Primitive ideals of _{ }[ ] and a Dixmier map for _{ }[ ] -- 4.1. A formula for the primitive ideals of _{ }[ ] -- 4.2. Structure of _{ } _{ }[ ] as a ^{ }× ^{ }-homogeneous space -- 4.3. The standard Poisson Lie structure on and its symplectic leaves -- 4.4. Equations for the symplectic leaves of ( ^{ }, _{ }) -- 4.5. A ^{ }× ^{ }-equivariant Dixmier map for ℝ_{ }[ ] -- Chapter 5. Separation of variables for the algebras ^{±}_{ } -- 5.1. Statement of the freeness result -- 5.2. Leading terms of the normal elements _{ }^{±}( ^{±}_{ , }) -- 5.3. Proof of \thref{FREES} -- Chapter 6. A classification of the normal and prime elements of the De Concini-Kac-Procesi algebras -- 6.1. Statement of the classification result -- 6.2. Homogeneous normal and -normal elements of ^{±}_{ } -- 6.3. A lemma on diagonal automorphisms of ^{ }_{±} -- 6.4. Proof of \prref{NORMALP}. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6.5. Proof of \thref{NORMAL1} -- 6.6. Prime and primitive ideals in the {0}-stratum of ^{±}_{ }. -- 6.7. A classification of the prime elements of ^{±}_{ } -- Chapter 7. Module structure of _{ } over their subalgebras generated by Joseph's normal elements -- 7.1. Statement of the freeness result -- 7.2. A × -filtration of _{ } -- 7.3. The action of '_{ } on _{ } -- 7.4. Structure of the algebras '_{ } and separation of variables for _{ } -- 7.5. Structure of the algebras _{ } and freeness of _{ } over _{ } -- Chapter 8. A classification of maximal ideals of _{ }[ ] and a question of Goodearl and Zhang -- 8.1. A projection property of the ideal _{(1,1)} -- 8.2. Proof of \prref{PROJJ} -- 8.3. Proof of \thref{MAX} -- 8.4. Classification of _{ }[ ] and a question of Goodearl and Zhang -- Chapter 9. Chain properties and homological applications -- 9.1. Applications -- 9.2. ⁺⊛ ⁻ is an algebra with enough normal elements. -- 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 | 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 | Yakimov, Milen |
| Title | On the Spectra of Quantum Groups |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2014 |
| International Standard Book Number | 9780821891742 |
| 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=3114051">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114051</a> |
| Public note | Click to View |
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