44 citations · 182 across the 28 of their papers we have counts for
3 papers · 1 filter
Voronoi Polytopes for Polyhedral Norms on Lattices
Michel Deza, Mathieu Dutour Sikirić
A polyhedral norm is a norm N on R^n for which the set N(x)\leq 1 is a polytope. This covers the case of the L^1 and L^{\infty} norms. We consider here effective algorithms for det…
On the cohomology of linear groups over imaginary quadratic fields
Herbert Gangl, Paul E. Gunnells, Jonathan Hanke +3
Let Gamma be the group GL_N (OO_D), where OO_D is the ring of integers in the imaginary quadratic field with discriminant D<0. In this paper we investigate the cohomology of Gamma…
Closure of principal L-type domain and its parallelotopes
Mathieu Dutour Sikiric, Viacheslav Grishukhin
Voronoi defined two polyhedral partitions of the cone of se\mi\de\fi\nite forms into L-type domains and into perfect domains. Up to equivalence, there is only one domain that is si…