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

By: Selick, Paul, 1950-Contributor(s): Wu, Jie, 1964-Material type: TextTextSeries: 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 | Contents
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
Tags from this library: No tags from this library for this title. Log in to add tags.
    Average rating: 0.0 (0 votes)
Current library Home library Call number Materials specified URL Status Date due Barcode
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

Access is restricted to licensed institutions

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India

Powered by Koha