有限维实单Balinsky-Novikov超代数的分类

Classification of finite-dimensional real simple Balinsky-Novikov superalgebras

有限维Balinsky-Novikov超代数可以看作是Novikov代数的一类超模拟,其仿射化给出了一类重要的无限维李超代数.本文主要叙述了它们的一些性质,并给出了实数域上有限维单Balinsky-Novikov超代数的完全分类.

In this paper,we study finite-dimensional Balinsky-Novikov superalgebras,which can be regarded as a class of superanalogues of Novikov algebras.We describe some of their properties and give the complete classification of finite-dimensional simple Balinsky-Novikov superalgebras over the field of real numbers.