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math.CT2020
Universal central extensions of internal crossed modules via the non-abelian tensor product
Davide di Micco, Tim Van der Linden
In the context of internal crossed modules over a fixed base object in a given semi-abelian category, we use the non-abelian tensor product in order to prove that an object is perf…
math.CT2019
Compatible actions in semi-abelian categories
Davide di Micco, Tim Van der Linden
The concept of a pair of compatible actions was introduced in the case of groups by Brown and Loday and in the case of Lie algebras by Ellis. In this article we extend it to the co…