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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...

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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

MARC

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245 1 0 |a On natural coalgebra decompositions of tensor algebras and loop suspensions /  |c Paul Selick, Jie Wu. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c ©2000. 
300 |a 1 online resource (viii, 109 pages) 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 701 
504 |a Includes bibliographical references (page 109). 
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520 8 |a 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 $\mathbf{k}(S_n)$-submodules of Lie$(n)$ The functor $A^{\mathrm{min}}$ over a field of characteristic $p>0$ Proof of Theorems 1.1 and 1.6 The functor $L^\prime_n$ and the associated $\mathbf{k}(\Sigma_n)$-module $\mathrm{Lie}^\prime(n)$ Examples References. 
505 0 0 |t 1. Introduction  |t 2. Natural coalgebra transformations of tensor algebras  |t 3. Geometric realizations and the proof of Theorem 1.3  |t 4. Existence of minimal natural coalgebra retracts of tensor algebras  |t 5. Some lemmas on coalgebras  |t 6. Functorial version of the Poincaré-Birkhoff-Witt theorem  |t 7. Projective $\mathbf {k}(S_n)$-submodules of $\operatorname {Lie}(n)$  |t 8. The functor $A^{\mathrm {min}}$ over a field of characteristic $p> 0$  |t 9. Proof of Theorems 1.1 and 1.6  |t 10. The functor $L'_n$ and the associated $\mathbf {k}(\Sigma _n)$-module $\operatorname {Lie}'(n)$  |t 11. Examples. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Loop spaces. 
650 0 |a H-spaces. 
650 0 |a Representations of groups. 
650 6 |a Espaces de lacets. 
650 6 |a H-espaces. 
650 6 |a Représentations de groupes. 
650 7 |a H-spaces  |2 fast 
650 7 |a Loop spaces  |2 fast 
650 7 |a Representations of groups  |2 fast 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 701.  |x 0065-9266 
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