On Natural Coalgebra Decompositions of Tensor Algebras and Loop Suspensions. (Record no. 69941)
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| 000 -LEADER | |
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| fixed length control field | 03007nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114446 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124608.0 |
| 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 | 240724s2000 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470402921 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821821107 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114446 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114446 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041224 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922965003 |
| 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 | QA612.76 -- .S45 2000eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;514/.24 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Selick, Paul. |
| 245 10 - TITLE STATEMENT | |
| Title | On Natural Coalgebra Decompositions of Tensor Algebras and Loop Suspensions. |
| 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 | 2000. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2000. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (122 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.148 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- 1. Introduction -- 2. Natural coalgebra transformations of tensor algebras -- 3. Geometric Realizations and the Proof of Theorem 1.3 -- 4. Existence of Minimal Natural Coalgebra Retracts of Tensor Algebras -- 5. Some Lemmas on Coalgebras -- 6. Functorial Version of the Poincaré-Birkhoff-Witt Theorem -- 7. Projective k(S[sub(n)])-Submodules of Lie(n) -- 8. The Functor A[sup(min)] over a Field of Characteristic p > -- 0 -- 8.1. An upper bound on the size of A[sup(min)](V) -- 8.2. Some general theorems on natural coalgebra retracts of T(V) -- 8.3. A coalgebra filtration on the functor A[sup(min)] -- 8.4. A lower bound on the growth of A[sup(min)](V) -- 9. Proof of Theorems 1.1 and 1.6 -- 10. The Functor L'[sub(n)] and the Associated k(Σ[sub(n)])-Module Lie'(n) -- 11. Examples -- 11.1. The functor A[sup(min)][sub(n)] for n ≤ p -- 11.2. The functor B[sup(max)] -- 11.3. The symmetric group module Lie[sup(max)](p) -- 11.4. Calculations for small n when p = 2 -- 11.5. Decompositions of ΩΣ[sup(2)]X for two-cell complexes X -- 11.6. The PBW map in characteristic 0 -- References. |
| 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 | Loop spaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | H-spaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Representations of groups. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Wu, Jie. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Selick, Paul |
| Title | On Natural Coalgebra Decompositions of Tensor Algebras and Loop Suspensions |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2000 |
| International Standard Book Number | 9780821821107 |
| 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=3114446">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114446</a> |
| Public note | Click to View |
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