1 citations · 1 across the 16 of their papers we have counts for
20 papers
A Generalization of a Theorem of Mandel
Hery Randriamaro
A theorem of Mandel allows to determine the covector set of an oriented matroid from its set of topes by using the composition condition. We provide a generalization of that result…
A Survey of the Valuation Algebra motivated by a Fundamental Application to Dissection Theory
Hery Randriamaro
A lattice is said lowly finite if the set is finite for every element of . We mainly aim to provide a complete proof that, if is a subset of a compl…
Completely Positive Maps for Imprimitive Reflection Groups
Hery Randriamaro
This article proves the existence of completely positive quasimultiplicative maps from the group algebra of imprimitive reflection groups to the set of bounded operators, and uses…
The Varchenko Matrix for Dehyperplane Arrangement
Hery Randriamaro
This article computes the Varchenko determinant of dehyperplane arrangements which are generalizations of pseudohyperplane arrangements. But unlike those latter, they are defined o…
Diagonalization of Fix-Mahonian Matrices
Hery Randriamaro
Consider the regular representation of the sum over all permutations weighted by the sum of their descent, inversion, and fixed point multinomials. We compute the spectrum and the…
Face Counting for Topological Hyperplane Arrangements
Hery Randriamaro
Determining the number of pieces after cutting a cake is a classical problem. Roberts (1887) provided an exact solution by computing the number of chambers contained in a plane cut…