Hopf-algebraic techniques applied to super Lie groups over a complete field (Q2197551)

Let \(k\) be a complete field of characteristic \(\neq 2\). The main results of the paper under review are, on the one hand, a category equivalence between super Lie groups and Harish-Chandra pairs and some consequences and, on the other hand, the construction of a quotient supermanifold \(G/H\), where \(G\) is a super Lie group and \(H\) is a super Lie subgroup of \(G\). This quotient supermanifold is shown to enjoy a remarkable property related to lifting of trivializations.