Novikov Super-Algebras with Associative Non-Degenerate Super-Symmetric Bilinear Forms
Novikov Super-Algebras with Associative Non-Degenerate Super-Symmetric Bilinear Forms
Novikov super-algebras are related to quadratic conformal super-algebras which correspond to Hamiltonian pairs and play fundamental role in completely integrable systems.In this paper, we focus on quadratic Novikov super-algebras, which are Novikov super-algebras with associative nondegenerate super-symmetric bilinear forms.We show that quadratic Novikov super-algebras are associative and the associated Lie-super …