For $\mathbb{G}$ an algebraic (or more generally, a bornological) quantum group and $\mathbb{B}$ closed subgroup of $\mathbb{G}$, we build in this paper induction module by explicitly defining, on the convolution algebra inner product which takes its value $\mathbb{B}$, as original approach Rieffel. In context, study link with functor defined Vaes. last part, illustrate our result parabolic com...

In this paper we are interested in examining the geometry of a bounded convex function over a Banach space via its subdiierential mapping. We will consider two concepts. The rst is the single valuedness and continuity of the subdiierential mapping, and the second is the single valuedness and the continuity of the \inverse" of this mapping. The smoothness of f is important for the rst concept as...

Let R be a Banach ring. We prove that the category of chain complexes complete bornological R-modules (and several related categories) is derived algebraic context in sense Raksit. then use framework algebra to version Hochschild-Kostant-Rosenberg Theorem, which relates circle action on Hochschild de Rham-differential-enriched-de Rham simplicial, commutative, algebra. This has geometric interpr...