Homotopy theory of comodules over a Hopf algebroid
| dc.creator | Hovey, Mark | |
| dc.date | 2003-01-21 | |
| dc.date.accessioned | 2026-07-07T04:54:35Z | |
| dc.date.available | 2026-07-07T04:54:35Z | |
| dc.description | Given a good homology theory E and a topological space X, the E-homology of X is not just an E_{*}-module but also a comodule over the Hopf algebroid (E_{*}, E_{*}E). We establish a framework for studying the homological algebra of comodules over a well-behaved Hopf algebroid (A, Gamma). That is, we construct the derived category Stable(Gamma) of (A, Gamma) as the homotopy category of a Quillen model structure on the category of unbounded chain complexes of Gamma-comodules. This derived category is obtained by inverting the homotopy isomorphisms, NOT the homology isomorphisms. We establish the basic properties of Stable(Gamma), showing that it is a compactly generated tensor triangulated category. | |
| dc.description | 43 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301229 | |
| dc.identifier | http://arxiv.org/abs/math/0301229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66309 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | 55U35; 55N22; 16W30; 18G55 | |
| dc.title | Homotopy theory of comodules over a Hopf algebroid | |
| dc.type | text |