Translator Disclaimer
2006 Natural transformations of tensor algebras and representations of combinatorial groups
Jelena Grbić, Jie Wu
Algebr. Geom. Topol. 6(5): 2189-2228 (2006). 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 [Applications of combinatorial groups to Hopf invariant and the exponent problem, Algebr. Geom. Topol. 6 (2006) 2229-2255].

Citation

Download Citation

Jelena Grbić. Jie Wu. "Natural transformations of tensor algebras and representations of combinatorial groups." Algebr. Geom. Topol. 6 (5) 2189 - 2228, 2006. https://doi.org/10.2140/agt.2006.6.2189

Information

Received: 23 October 2006; Accepted: 24 October 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1147.55007
MathSciNet: MR2263064
Digital Object Identifier: 10.2140/agt.2006.6.2189

Subjects:
Primary: 16W30
Secondary: 20F38, 55P35

Rights: Copyright © 2006 Mathematical Sciences Publishers

JOURNAL ARTICLE
40 PAGES


SHARE
Vol.6 • No. 5 • 2006
MSP
Back to Top