Natural transformations of tensor algebras and representations of combinatorial groups

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

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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 2010, the AMS's Mathematics Subject Classification > 16 Associative rings and algebras MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations MSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology
Depositing User:	Ms Lucy van Russelt
Date Deposited:	12 Apr 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/774

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