  We show that the 1+1-dimensional quantum superplane introduced by Manin is a
quantum supergroup according to the Faddeev-Reshetikhin-Takhtajan approach. We
give its supermatrix element, its corresponding R-matrix and its Hopf
structure. This new point of view allows us, first, to realize its dual Hopf
superalgebra starting from postulated initial pairings. Second, we construct a
right-invariant differential calculus on it and then deduce the corresponding
quantum Lie superalgebra which as a commutation super-algebra appears
classical, and as Hopf structure is a non-cocommutative q-deformed one. An
isomorphism between the latter and the dual one obtained in the first method is
given.
