Classification of low-dimensional Lie super-bialgebras
Classification of low-dimensional Lie super-bialgebras
A thorough analysis of Lie super-bialgebra structures on Lie super-algebras osp(1;2) and super e(2) is presented. A combined technique of computer algebraic computations and subsequent identification of equivalent structures is applied. In all the cases, Poisson–Lie brackets on supergroups are found. The possibility of quantizing them in order to obtain …