The double sign of a real division algebra of finite dimension greater than one

Details The double sign of a real division algebra of finite dimension greater than one The double sign of a real division algebra of finite dimension greater than one

2011-10-12

arxiv.org/abs/1110.2572v1

Mathematics

Rings and Algebras

12 pages

Scientific paper

For any real division algebra A of finite dimension greater than one, the signs of the determinants of left multiplication and right multiplication by a non-zero element are shown to form an invariant of A, called its double sign. The double sign causes the category of all real division algebras of a fixed dimension n>1 to decompose into four blocks. The structures of these blocks are closely related, and their relationship is made precise for a sample of full subcategories of the category of all finite-dimensional real division algebras.

Affiliated with

Also associated with

No associations

Rating

The double sign of a real division algebra of finite dimension greater than one 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 double sign of a real division algebra of finite dimension greater than one, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The double sign of a real division algebra of finite dimension greater than one will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-633012