26-29 October 2021
Europe/Paris timezone

On the centre of crossed modules of groups and Lie algebras

29 Oct 2021, 10:30


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.

Presentation Materials

There are no materials yet.