Natural transformations of tensor algebras and representations of combinatorial groups
Algebraic Topology
2009-06-30 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.math/0602218,
title = {Natural transformations of tensor algebras and representations of combinatorial groups},
author = {Jelena Grbic and Jie Wu},
journal= {arXiv preprint arXiv:math/0602218},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 29 November 2006