000			03007nam a22004813i 4500
001			EBC3114446
003			MiAaPQ
005			20240729124608.0
006			m o d |
007			cr cnu||||||||
008			240724s2000 xx o ||||0 eng d
020			_a9781470402921 _q(electronic bk.)
020			_z9780821821107
035			_a(MiAaPQ)EBC3114446
035			_a(Au-PeEL)EBL3114446
035			_a(CaPaEBR)ebr11041224
035			_a(OCoLC)922965003
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.76 -- .S45 2000eb
082	0		_a510 s;514/.24
100	1		_aSelick, Paul.
245	1	0	_aOn Natural Coalgebra Decompositions of Tensor Algebras and Loop Suspensions.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2000.
264		4	_c©2000.
300			_a1 online resource (122 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.148
505	0		_aIntro -- 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 &gt -- 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			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic 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	_aLoop spaces.
650		0	_aH-spaces.
650		0	_aRepresentations of groups.
655		4	_aElectronic books.
700	1		_aWu, Jie.
776	0	8	_iPrint version: _aSelick, Paul _tOn Natural Coalgebra Decompositions of Tensor Algebras and Loop Suspensions _dProvidence : American Mathematical Society,c2000 _z9780821821107
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114446 _zClick to View
999			_c69941 _d69941