11 citations · 27 across the 8 of their papers we have counts for
15 papers
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…
The intermediate orders of a Coxeter group
Angela Carnevale, Matthew Dyer, Paolo Sentinelli
We define a class of partial orders on a Coxeter group associated with sets of reflections. In special cases, these lie between the left weak order and the Bruhat order. We prove t…
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 diagrams, Bruhat order, and pattern avoidance
Francesco Brenti, Angela Carnevale, Bridget Eileen Tenner
The odd diagram of a permutation is a subset of the classical diagram with additional parity conditions. In this paper, we study classes of permutations with the same odd diagram,…
Linear relations with disjoint supports and average sizes of kernels
Angela Carnevale, Tobias Rossmann
We study the effects of imposing linear relations within modules of matrices on average sizes of kernels. The relations that we consider can be described combinatorially in terms o…