New Examples of Simple Jordan Superalgebras over an Arbitrary Field of Characteristic Zero

Details New Examples of Simple Jordan Superalgebras over an Arbitrary Field of Characteristic Zero New Examples of Simple Jordan Superalgebras over an Arbitrary Field of Characteristic Zero

2010-07-16

arxiv.org/abs/1007.2772v1

Mathematics

Rings and Algebras

Scientific paper

I.P. Shestakov constructed an example of a unital simple special Jordan superalgebra over the field of real numbers. It turned out to be a subsuperalgebra of the Jordan superalgebra of vector type, but not isomorphic to a superalgebra of this type. Moreover, its superalgebra of fractions is isomorphic to a Jordan superalgebra of vector type. Author constructed a similar example of a Jordan superalgebra over a field of characteristic~0 in which the equation $t^2+1=0$. In this article we present an~example of a Jordan superalgebra with the same properties over an arbitrary field of characteristic 0. A similar example of a superalgebra is found in the Cheng-Kac superalgebra.

Affiliated with

Also associated with

No associations

Rating

New Examples of Simple Jordan Superalgebras over an Arbitrary Field of Characteristic Zero 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 New Examples of Simple Jordan Superalgebras over an Arbitrary Field of Characteristic Zero, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New Examples of Simple Jordan Superalgebras over an Arbitrary Field of Characteristic Zero will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51109