A New Construction of the Kac Jordan Superalgebra

We present an elementary construction of the 10-dimensional simple Jordan superalgebra of Kac using the 3-dimensional tiny Kaplansky superalgebra. This new realization enables us to derive many of its properties.

(This paper has appeared in Proc. Amer. Math. Soc. 130 (2002), 3203 - 3217)

G. Benkart < benkart@math.wisc.edu >

A. Elduque < elduque@posta.unizar.es >