On natural coalgebra decompositions of tensor algebras and loop suspensions:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2000
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
701 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 148, Number 701 (first of 5 numbers) |
| Physical Description: | VIII, 109 S. |
| ISBN: | 0821821105 |
Staff View
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| 245 | 1 | 0 | |a On natural coalgebra decompositions of tensor algebras and loop suspensions |c Paul Selick ; Jie Wu |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2000 | |
| 300 | |a VIII, 109 S. | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 701 | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
1. Introduction 1
2. Natural coalgebra transformations of tensor algebras 7
3. Geometric Realizations and the Proof of Theorem 1.3 14
•1. Existence of Minimal Natural Coalgebra Retracts of Tensor Algebras 18
5. Some Lemmas on Coalgebras 28
0. Functorial Version of the Poincare Birkhoff Witt Theorem 32
7. Protective k(Sn) Submodules of Lie(?t) 40
8. The Functor ,4 over a Field of Characteristic p 0 54
8.1. An upper bound on the size of A (V) 55
8.2. Some general theorems on natural coalgebra retracts of T(V) 62
8.3. A coalgebra filtration on the functor Amm 67
8.4. A lower bound on the growth of A (V) 71
9. Proof of Theorems 1.1 and 1.6 79
10. The Functor L n and the Associated k(£n) Module Lic (n) 83
11. Examples 96
11.1. The functor A ™ for n p 96
11.2. The functor B nax 97
11.3. The symmetric group module Liemax(p) 99
11.4. Calculations for small n when p = 2 100
11.5. Decompositions of £IY?X for two cell complexes X 101
11.6. The PBW map in characteristic 0 107
References 109
vii
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| any_adam_object | 1 |
| author | Selick, Paul 1950- Wu, Jie 1964- |
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| ctrlnum | (OCoLC)264742884 (DE-599)BVBBV013453461 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013453461 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:12Z |
| institution | BVB |
| isbn | 0821821105 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009184234 |
| oclc_num | 264742884 |
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| owner_facet | DE-739 DE-355 DE-BY-UBR DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | VIII, 109 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Selick, Paul 1950- Verfasser (DE-588)173130704 aut On natural coalgebra decompositions of tensor algebras and loop suspensions Paul Selick ; Jie Wu Providence, RI American Mathematical Society 2000 VIII, 109 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 701 Volume 148, Number 701 (first of 5 numbers) Koalgebra (DE-588)4164324-0 gnd rswk-swf Koalgebra (DE-588)4164324-0 s DE-604 Wu, Jie 1964- Verfasser (DE-588)172458749 aut American Mathematical Society: Memoirs of the American Mathematical Society 701 (DE-604)BV008000141 701 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009184234&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Selick, Paul 1950- Wu, Jie 1964- On natural coalgebra decompositions of tensor algebras and loop suspensions American Mathematical Society: Memoirs of the American Mathematical Society Koalgebra (DE-588)4164324-0 gnd |
| subject_GND | (DE-588)4164324-0 |
| title | On natural coalgebra decompositions of tensor algebras and loop suspensions |
| title_auth | On natural coalgebra decompositions of tensor algebras and loop suspensions |
| title_exact_search | On natural coalgebra decompositions of tensor algebras and loop suspensions |
| title_full | On natural coalgebra decompositions of tensor algebras and loop suspensions Paul Selick ; Jie Wu |
| title_fullStr | On natural coalgebra decompositions of tensor algebras and loop suspensions Paul Selick ; Jie Wu |
| title_full_unstemmed | On natural coalgebra decompositions of tensor algebras and loop suspensions Paul Selick ; Jie Wu |
| title_short | On natural coalgebra decompositions of tensor algebras and loop suspensions |
| title_sort | on natural coalgebra decompositions of tensor algebras and loop suspensions |
| topic | Koalgebra (DE-588)4164324-0 gnd |
| topic_facet | Koalgebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009184234&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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