External derivations of internal groupoids

Giuseppe Metere, Stefano Kasangian, Giuseppe Metere, Enrico M. Vitale, Sandra Mantovani

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

If His a G-crossed module, the set of derivations of Gin H 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. (C) 2007 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)175-192
Number of pages18
JournalJournal of Pure and Applied Algebra
Volume212
Publication statusPublished - 2008

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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