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 Títol: The 2-group of symmetries of a split chain complex Autor: Elgueta Montó, Josep Data: 15-des-2010 Tipus de document: External research report Citació: MAII-IR-10-00003 Resum: We explicitly compute the 2-group of self-equivalences and (homotopy classes of) chain homotopies between them for any {\it split} chain complex $A_{\bullet}$ in an arbitrary $\kb$-linear abelian category ($\kb$ any commutative ring with unit). In particular, it is shown that it is a {\it split} 2-group whose equivalence class depends only on the homology of $A_{\bullet}$, and that it is equivalent to the trivial 2-group when $A_\bullet$ is a split exact sequence. This provides a description of the {\it general linear 2-group} of a Baez and Crans 2-vector space over an arbitrary field $\mathbb{F}$ and of its generalization to chain complexes of vector spaces of arbitrary length. URI: http://hdl.handle.net/2117/12410 Apareix a les col·leccions: Altres. Enviament des de DRACEGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions. Reports de recercaDepartaments de Matemàtica Aplicada. Reports de recerca Comparteix: