Natural transformations of tensor algebras and representations of combinatorial groups

Details Natural transformations of tensor algebras and representations of combinatorial groups Natural transformations of tensor algebras and representations of combinatorial groups

2006-02-10

arxiv.org/abs/math/0602218v2

Algebr. Geom. Topol. 6 (2006) 2189-2228

Mathematics

Algebraic Topology

This is the version published by Algebraic & Geometric Topology on 29 November 2006

Scientific paper

10.2140/agt.2006.6.2189

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.

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