论文标题
代表和（2,3） - 带有应用的BOL代数
Representations and (2,3)-cohomology of Bol algebras with applications
论文作者
论文摘要
提出了BOL代数的表示理论。对于BOL代数的合适的（2,3） - 生物学理论，我们定义了A（2,3）与伴侣的探测，接下来我们定义了A（2,3） - 酒精学组。研究了BOL代数的变形。特别是，BOL代数的单参数无限变形以变形类型的BOL代数和（2,3） - cocycles在伴随表示中的特征。 （2,3） - 酒精学组还用于研究BOL代数的Abelian扩展。
A representation theory for Bol algebras is proposed. For a suitable (2,3)-cohomology theory for Bol algebras, we define a (2,3)-coboundary with companion and next we define a (2,3)-cohomology group. Deformations of Bol algebras are investigated. In particular, one-parameter infinitesimal deformations of Bol algebras are characterized in terms of Bol algebras of deformation type and (2,3)-cocycles with coefficients in the adjoint representation. The (2,3)-cohomology group is also applied to study abelian extensions of Bol algebras.
