On natural coalgebra decompositions of tensor algebras and loop suspensions / [electronic resource] Paul Selick, Jie Wu.
Material type: TextSeries: Memoirs of the American Mathematical Society ; v. 701Publication details: Providence, R.I. : American Mathematical Society, c2000Description: 1 online resource (viii, 109 p.)ISBN: 9781470402921 (online)Subject(s): Loop spaces | H-spaces | Representations of groupsAdditional physical formats: On natural coalgebra decompositions of tensor algebras and loop suspensions /DDC classification: 510 s | 514/.24 LOC classification: QA3 | .A57 no. 701 | QA612.76Online resources: Contents | ContentsCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK13154 |
Includes bibliographical references (p. 109).
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 Poincar�e-Birkhoff-Witt theorem 7. Projective $\mathbf {k}(S_n)$-submodules of $\operatorname {Lie}(n)$ 8. The functor $A^{\mathrm {min}}$ over a field of characteristic $p > 0$ 9. Proof of Theorems 1.1 and 1.6 10. The functor $L'_n$ and the associated $\mathbf {k}(\Sigma _n)$-module $\operatorname {Lie}'(n)$ 11. Examples
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
Description based on print version record.
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