V. Oussa

collaborators

3 papers

math.MG2015

Pairs of Full-Rank Lattices With Parallelepiped-Shaped Common Fundamental Domains

H. Burgiel, V. Oussa

We provide a complete characterization of pairs of full-rank lattices in $R^{d}$ which admit common connected fundamental domains of the type $N [0, 1)^{d}$ whe…

math.RT2012

Admissibility For Quasiregular Representations of Exponential Solvable Lie Groups

Vignon Oussa

Let $N$ be a simply connected, connected non-commutative nilpotent Lie group with Lie algebra $n$ of dimension $n .$ Let $H$ be a subgroup of the automorphism group of $N…

math.RT2012

Linear Independence of a Finite Set of Dilations by a One-Parameter Matrix Lie Group

David Ferrone, Vignon Oussa

Let $G = {e^{t A} : t \in R}$ be a closed one-parameter subgroup of the general linear group of matrices of order $n$ acting on $R^{n}$ by matrix-vector multiplication…