Jordan Pairs and Hopf Algebras
A (quadratic) Jordan pair is constructed from a Z-graded Hopf algebra
having divided power sequences over all primitive elements and with three terms
in the Z-grading of the primitive elements. The notion of a divided power
representation of a Jordan pair is introduced and the universal object is shown
to be a suitable Hopf algebra. This serves as a replacement for the
Tits-Kantor-Koecher construction.
John R. Faulkner
< jrf@virginia.edu >