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Universal central extensions in peri-abelian categories

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If you have a question about this talk, please contact Julia Goedecke.

(joint work with James Gray)

We clarify the relation between Bourn’s notion of peri-abelian category on the one hand and coincidence of the Smith, Huq and Higgins commutators on the other. Next, peri-abelian categories are shown to form a good context for the general theory of universal central extensions: all peri-abelian categories satisfy the condition (UCE) considered in joint work with Casas; and via a result of Cigoli, all categories of interest in Orzech’s sense are examples.

This talk is part of the Category Theory Seminar series.

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