Algebra, Logic and Topology

 

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details

Title
Galois theory and commutators

Abstract
We explain how the relative commutator with respect to a subvariety of a variety of omega-groups can be described in terms of categorical Galois theory. This extends the known correspondence between Fröhlich's and Janelidze and Kelly's notions of central extension. Basing ourselves on the concept of double central extension, thus we obtain a commutator which is defined relative to a Birkhoff subcategory B of a semi-abelian category A. In case the subcategory B is determined by the abelian objects in A we regain Huq's commutator.

Speaker(s)
Tim Van der Linden (CMUC/FCT)

Date
December 02, 2008

Time
15.45

Room
Sala 5.5

 
     
 

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