In this paper, we associate canonically a precyclic mod- ule to a regular multiplier Hopf algebra endowed with a group-like projection and a modular pair in involution satisfying certain con- dition

‎we describe a new type of presentation that‎, ‎when consistent‎, ‎describes a polycyclic group‎. ‎this presentation is obtained by‎ ‎refining a series of normal subgroups with‎ ‎abelian sections‎. ‎these presentations can be described effectively in‎ ‎computer-algebra-systems like {scshape gap} or ‎{scshape magma}‎. ‎we study these ‎presentations and‎, ‎in particular‎, ‎we obtain consistency c...

Let G be a Lie group of dimension n, and let A(G) be the Fourier algebra of G. We show that the anti-diagonal ∆̌G = {(g, g ) ∈ G × G | g ∈ G} is both a set of local smooth synthesis and a set of local weak synthesis of degree at most [ 2 ]+1 for A(G×G). We achieve this by using the concept of the cone property in [14]. For compact G, we give an alternative approach to demonstrate the preceding r...

A complete choice of generators of the center of the enveloping algebras of real quasi-simple Lie algebras of orthogonal type, for arbitrary dimension, is obtained in a unified setting. The results simultaneously include the well known polynomial invariants of the pseudo-orthogonal algebras so(p, q), as well as the Casimirs for many non-simple algebras such as the inhomogeneous iso(p, q), the N...