English

Inhomogeneous supersymmetric bilinear forms

Representation Theory 2017-09-21 v2

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.

Keywords

Cite

@article{arxiv.1612.09400,
  title  = {Inhomogeneous supersymmetric bilinear forms},
  author = {Bojko Bakalov and McKay Sullivan},
  journal= {arXiv preprint arXiv:1612.09400},
  year   = {2017}
}

Comments

13 pages

R2 v1 2026-06-22T17:37:32.092Z