12 citations · 39 across the 18 of their papers we have counts for
22 papers
Hypercube subgroups of (outer) reduced Weyl groups of the Cuntz algebras
Francesco Brenti, Roberto Conti, Gleb Nenashev
We develop some tools, of an algebraic and combinatorial nature, which enable us to obtain a detailed description of certain quadratic subgroups of the (outer) reduced Weyl group o…
Some open problems on Coxeter groups and unimodality
Francesco Brenti
In this paper I present some open problems on Coxeter groups and unimodality, together with the main partial results, and computational evidence, that are known about them.
Wachs permutations, Bruhat order and weak order
Francesco Brenti, Paolo Sentinelli
We study the partial orders induced on Wachs and signed Wachs permutations by the Bruhat and weak orders of the symmetric and hyperoctahedral groups. We show that these orders are…
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,…
Odd and even major indices and one-dimensional characters for classical Weyl groups
F. Brenti, P. Sentinelli
We define and study odd and even analogues of the major index statistics for the classical Weyl groups. More precisely, we show that the generating functions of these statistics, t…
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…