An existence result for super Lie groups
An existence result for super Lie groups is a scholarly work, published in 1984 in ''Letters in Mathematical Physics''. The main subjects of the publication include mathematics, fundamental representation, adjoint representation, Lie algebra, representation of a Lie group, affine Lie algebra, algebra over a field, Lie theory, cluster algebra, simple Lie group, deformation quantization, graded Lie algebra, Lie conformal algebra, Lie group, and pure mathematics. An analogue of the classical global third Lie theorem is proved to hold for super Lie groups whose ground Banach—Grassmann algebra is (possibly) infinite-dimensional, provided that this algebra has an ordered basis.