You are here: MIMS > EPrints
MIMS EPrints

2007.72: Natural transformations of tensor algebras and representations of combinatorial groups

2007.72: Jelena Grbić and Jie Wu (2006) Natural transformations of tensor algebras and representations of combinatorial groups. Algebraic and Geometric Topology, 6. pp. 2189-2228. ISSN 1472-2747

Full text available as:

PDF - Registered users only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
609 Kb

DOI: 10.2140/agt.2006.6.2189

Abstract

Natural linear and coalgebra transformations of tensor algebras are studied. The representations of certain combinatorial groups are given. These representations are connected to natural transformations of tensor algebras and to the groups of the homotopy classes of maps from the James construction to loop spaces. Applications to homotopy theory appear in a sequel.

Item Type:Article
Uncontrolled Keywords:combinatorial groups, algebras, coalgebras, tensor algebras, natural transformations
Subjects:MSC 2000 > 16 Associative rings and algebras
MSC 2000 > 20 Group theory and generalizations
MSC 2000 > 55 Algebraic topology
MIMS number:2007.72
Deposited By:Miss Louise Stait
Deposited On:12 April 2007

Download Statistics: last 4 weeks
Repository Staff Only: edit this item