Cargando…

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Selick, Paul, 1950-
Otros Autores: Wu, Jie, 1964-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2000.
Colección:Memoirs of the American Mathematical Society ; no. 701.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.