Homogeneous Hypercomplex Structures I - the compact Lie groups

Details Homogeneous Hypercomplex Structures I - the compact Lie groups Homogeneous Hypercomplex Structures I - the compact Lie groups

2010-05-02

arxiv.org/abs/1005.0172v2

Mathematics

Differential Geometry

In the second version we have made several proofs more transparent. We have removed from the introduction some things, which a

Scientific paper

We introduce a remarkable subset "the stem" of the set of positive roots of a reduced root system. The stem determines several interesting decompositions of the corresponding reductive Lie algebra. It gives also a nice simple three dimensional subalgebra and a "Cayley transform". In the present paper we apply the above devices to give a complete classification of invariant hypercomplex structures on compact Lie groups.

Affiliated with

Also associated with

No associations

Rating

Homogeneous Hypercomplex Structures I - the compact Lie groups 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 Homogeneous Hypercomplex Structures I - the compact Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homogeneous Hypercomplex Structures I - the compact Lie groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-657959