2 papers
math.RT2004
Graded Lie algebras defined by Jordan algebras and their representations
Issai Kantor, Gregory Shpiz
We introduce the notion of a generalized representation of a Jordan algebra with unit. The greneralized representation has the following properties: (1) Usual representations and J…
math.RA2002
A Peirce decomposition for generalized Jordan triple systems of second order
Issai Kantor, Noriaki Kamiya
A tripotent of a generalized triple system of second order defines a decomposition of the space of the space which consist of 10 components. It gives a generalization of the Peirce…