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On natural coalgebra decompositions of tensor algebras and loop suspensions /
Introduction Natural coalgebra transformations of tensor algebras Geometric realizations and the proof of Theorem 1.3 Existence of minimal natural coalgebra retracts of tensor algebras Some lemmas on coalgebras Functorial version of the Poincare-Birkhoff-Whitt theorem Projective $\mathbf{k}(S_n)$-su...
| Call Number: | Libro Electrónico |
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| Other Authors: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Providence, R.I. :
American Mathematical Society,
©2000.
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| Series: | Memoirs of the American Mathematical Society ;
no. 701. |
| Subjects: | |
| Online Access: | Texto completo |
Table of 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 $\mathbf {k}(S_n)$-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.