2016/03/02 by Ryo Kato, Kato, Ryo, Akihiko Yukie +1 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.RT #msc:17C40
paper · pdf · doi:10.48550/arxiv.1603.00753
10 pages
arxiv created 2016/03/02 · arxiv updated 2016/03/03
Let J be the exceptional Jordan algebra and V=J⊕ J. We construct an equivariant map from V to Homk(J⊗ J,J) defined by homogeneous polynomials of degree 8 such that if x∈ V is a generic point, then the image of x is the structure constant of the isotope of J corresponding to x. We also give an alternative way to define the isotope corresponding to a generic point of J by an equivariant map from J to the space of trilinear forms.