11 citations · 11 across the 2 of their papers we have counts for
6 papers · 1 filter
A Bruhat order for Latin squares and alternating sign hypermatrices
Angela Carnevale, Cian O'Brien
The Bruhat order on permutation matrices extends to alternating sign matrices via corner-sum matrices, where the order is given by entrywise domination. A classical result of Lasco…
Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Angela Carnevale, Vassilis Dionyssis Moustakas, Tobias Rossmann
We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so-called…
On Denert's statistic
Angela Carnevale, Elena Tielker
We show that the numerators of genus zeta function associated with local hereditary orders studied by Denert can be described in terms of the joint distribution of Euler-Mahonian s…
Odd length in Weyl groups
Francesco Brenti, Angela Carnevale
We define a new statistic on any Weyl group which we call the odd length and which reduces, for Weyl groups of types , , and , the the statistics by the same name that hav…
Proof of a conjecture of Klopsch-Voll on Weyl groups of type
Francesco Brenti, Angela Carnevale
We prove a conjecture of Klopsch-Voll on the signed generating function of a new statistic on the quotients of the symmetric groups. As a consequence of our results we also prove a…
Odd length for even hyperoctahedral groups and signed generating functions
Francesco Brenti, Angela Carnevale
We define a new statistic on the even hyperoctahedral groups which is a natural analogue of the odd length statistic recently defined and studied on Coxeter groups of types and…