Modular Isomorphism On Bilinear Spaces

Based on the understanding of Lie algebra, this paper mainly generalizes and studies some conclusions of Lie Algebras in Lie super algebras.The first part of the paper mainly introduces the research background and significance of the problem.The second part reviews the related concepts and basic conclusions about the combined(super) algebra, the Lie(super) algebra, the Hopf(super) algebra, and their(hyper)representation.The third part specifically studied the link between the dual module and the tensor product model, and gives the Hopf(super) algebra in the module category, there are dual mode dual module of the tensor product to the tensor product of a single morphism of a sufficient condition.In the fourth part, we use dual tensor product of mold, mold structure is defined in a Hopf modules of the bilinear form space, and the die structure, gives the lie(super)algebra bilinear form is a combination of a sufficient condition.