Oct 26 – 29, 2021
Europe/Paris timezone

On the centre of crossed modules of groups and Lie algebras

Oct 29, 2021, 10:30 AM


Mariam Pirashvili


Crossed modules are algebraic models of homotopy 2-types and hence have \pi_1 and \pi_2 . We propose a definition of the centre of a crossed module whose essential invariants can be computed via the group cohomology H^i (\pi_1, \pi_2). This definition therefore has much nicer properties than one proposed by Norrie in the 80’s.

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