Classification of Minimal Algebras over any Field up to Dimension 6

Details Classification of Minimal Algebras over any Field up to Dimension 6 Classification of Minimal Algebras over any Field up to Dimension 6

2010-01-21

arxiv.org/abs/1001.3860v2

Mathematics

Algebraic Topology

19 pages. Fully revised version. To appear in Transactions of the AMS

Scientific paper

We give a classification of minimal algebras generated in degree 1, defined over any field $\bk$ of characteristic different from 2, up to dimension 6. This recovers the classification of nilpotent Lie algebras over $\bk$ up to dimension 6. In the case of a field $\bk$ of characteristic zero, we obtain the classification of nilmanifolds of dimension less than or equal to 6, up to $\bk$-homotopy type. Finally, we determine which rational homotopy types of such nilmanifolds carry a symplectic structure.

Affiliated with

Also associated with

No associations

Rating

Classification of Minimal Algebras over any Field up to Dimension 6 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 Classification of Minimal Algebras over any Field up to Dimension 6, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of Minimal Algebras over any Field up to Dimension 6 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-249581