Relative commutator theory and the associator of loops
 
 
Description:  The aim of this talk is to explain the concept of double central extension from the point of view of relative commutator theory. We shall focus on one concrete situation: the reflection of loops to groups. First we recall how the Galois theoretic approach to relative commutators arose out of Tomas Everaert's work in the context of Omega-groups. Then we show how the abstract definition applies to the case of loops, where the associator is an example of a relative commutator.
Date:  2009-10-27
Start Time:   14:30
Speaker:  Tim Van der Linden (CMUC/Mat. FCTUC)
Institution:  --
Place:  Room 5.5
Research Groups: -Algebra, Logic and Topology
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