On Maps from Loop Suspensions to Loop Spaces and the Shuffle Relations on the Cohen Groups - Couverture souple

Wu, Jie

 
9780821838754: On Maps from Loop Suspensions to Loop Spaces and the Shuffle Relations on the Cohen Groups
Couverture souple
ISBN 10 : 082183875X ISBN 13 : 9780821838754
Editeur : American Mathematical Society, 2006

Synopsis

The maps from loop suspensions to loop spaces are investigated using group representations in this article. The shuffle relations on the Cohen groups are given. By using these relations, a universal ring for functorial self maps of double loop spaces of double suspensions is given. Moreover the obstructions to the classical exponent problem in homotopy theory are displayed in the extension groups of the dual of the important symmetric group modules Lie$(n)$, as well as in the top cohomology of the Artin braid groups with coefficients in the top homology of the Artin pure braid groups.

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Éditeur
American Mathematical Society
Date d'édition
2006
Langue
anglais
ISBN 10 
082183875X
ISBN 13 
9780821838754
Reliure
Broché
Nombre de pages
64
Coordonnées du fabricant
non disponible
Personne responsable
non disponible