Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598170 | Journal of Pure and Applied Algebra | 2008 | 18 Pages |
Abstract
If HH is a GG-crossed module, the set of derivations of GG in HH is a monoid under the Whitehead product of derivations. We interpret the Whitehead product using the correspondence between crossed modules and internal groupoids in the category of groups. Working in the general context of internal groupoids in a finitely complete category, we relate derivations to holomorphisms, translations, affine transformations, and to the embedding category of a groupoid.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
S. Kasangian, S. Mantovani, G. Metere, E.M. Vitale,