5 citations · 8 across the 17 of their papers we have counts for
18 papers
Heaps reduction, decorated diagrams, and the affine Temperley-Lieb algebra of type
Riccardo Biagioli, Gabriele Calussi, Giuliana Fatabbi
In this paper we propose a combinatorial framework to study a diagrammatic representation of the affine Temperley-Lieb algebra of type C introduced by Ernst. In doing this, we defi…
Block number, descents and Schur positivity of fully commutative elements in
Eli Bagno, Riccardo Biagioli, Frédéric Jouhet +1
The distribution of Coxeter descents and block number over the set of fully commutative elements in the hyperoctahedral group , $\FC(B_n)$, is studied in this paper. We prove…
Some identities involving second kind Stirling numbers of types and
Eli Bagno, Riccardo Biagioli, David Garber
Using Reiner's definition of Stirling numbers of the second kind in types and , we generalize two well-known identities concerning the classical Stirling numbers of the seco…
321-avoiding affine permutations and their many heaps
Riccardo Biagioli, Frédéric Jouhet, Philippe Nadeau
We study -avoiding affine permutations, and prove a formula for their enumeration with respect to the inversion number by using a combinatorial approach. This is done in two d…
Length enumeration of fully commutative elements in finite and affine Coxeter groups
Riccardo Biagioli, Mireille Bousquet-Mélou, Frédéric Jouhet +1
An element w of a Coxeter group W is said to be fully commutative, if any reduced expression of w can be obtained from any other by transposing adjacent pairs of generators. These…
Depth in classical Coexter groups
Eli Bagno, Riccardo Biagioli, Mordechai Novick +1
The depth statistic was defined by Petersen and Tenner for an element of an arbitrary Coxeter group in terms of factorizations of the element into a product of reflections. It can…