The cohomological comparison arising from the associated abelian object

Details The cohomological comparison arising from the associated abelian object The cohomological comparison arising from the associated abelian object

2010-01-06

arxiv.org/abs/1001.0905v2

Mathematics

Category Theory

24 pages

Scientific paper

We make explicit some conditions on a semi-abelian category D such that, for any abelian group A in D and any object Y in D, the cohomology group homomorphisms with coefficients in A, induced by the inclusion of the abelian objects of D at the level of the slice category D/Y, are actually isomorphisms. These conditions hold in particular when D is the category Gp of groups, and this allows us to give a new insight on the Eilenberg-Mac Lane cohomology of groups. They hold also when D is the category K-Lie of Lie-algebras.

Affiliated with

Also associated with

No associations

Rating

The cohomological comparison arising from the associated abelian object does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The cohomological comparison arising from the associated abelian object, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The cohomological comparison arising from the associated abelian object will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-164367