Structurable algebras and groups of type E_6 and E_7

Details Structurable algebras and groups of type E_6 and E_7 Structurable algebras and groups of type E_6 and E_7

1998-11-06

arxiv.org/abs/math/9811035v3

Journal of Algebra, vol. 236 (2001), 651-691

Mathematics

Rings and Algebras

35 pages, AMSLaTeX -- error in final section corrected

Scientific paper

10.1006/jabr.1998.7584

It is well-known that every algebraic group of type F_4 is the automorphism group of an exceptional Jordan algebra, and that up to isogeny all groups of type ^1E_6 with trivial Tits algebras arise as the isometry groups of norm forms of such Jordan algebras. We describe a similar relationship between groups of type E_6 and groups of type E_7 and use it to give explicit descriptions of the homogeneous projective varieties associated to groups of type E_7 with trivial Tits algebras. The underlying algebraic structure for the relationship considered here are a sort of 56-dimensional structurable algebra which are forms of an algebra constructed from an exceptional Jordan algebra.

Affiliated with

Also associated with

No associations

Rating

Structurable algebras and groups of type E_6 and E_7 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 Structurable algebras and groups of type E_6 and E_7, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structurable algebras and groups of type E_6 and E_7 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-584576