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On natural coalgebra decompositions of tensor algebras and loop suspensions / [electronic resource] Paul Selick, Jie Wu.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 701Publication details: Providence, R.I. : American Mathematical Society, c2000.Description: 1 online resource (viii, 109 p.)ISBN:
  • 9781470402921 (online)
Subject(s): Additional physical formats: On natural coalgebra decompositions of tensor algebras and loop suspensions /DDC classification:
  • 510 s 514/.24 21
LOC classification:
  • QA3 .A57 no. 701 QA612.76
Online resources:
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 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
Item type: E-BOOKS
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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

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The Institute of Mathematical Sciences, Chennai, India