Inhomogeneous supersymmetric bilinear forms

2016/12/30 by Bojko Bakalov, Bakalov, Bojko, McKay Sullivan +1
Mathematics · #15A21 #17B60 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:15A21 #msc:17B60

paper · pdf · doi:10.48550/arxiv.1612.09400

13 pages

arxiv created 2017/09/20 · arxiv updated 2017/09/21

Abstract

We consider inhomogeneous supersymmetric bilinear forms, i.e., forms that are neither even nor odd. We classify such forms up to dimension seven in the case when the restrictions of the form to the even and odd parts of the superspace are nondegenerate. As an application, we introduce a new type of oscillator Lie superalgebra.

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