11 citations · 27 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
Enumerating traceless matrices over compact discrete valuation rings
Angela Carnevale, Shai Shechter, Christopher Voll
We enumerate traceless square matrices over finite quotients of compact discrete valuation rings by their image sizes. We express the associated rational generating functions in te…
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: odd diagrams and descent classes
Francesco Brenti, Angela Carnevale
We define and study odd analogues of classical geometric and combinatorial objects associated to permutations, namely odd Schubert varieties, odd diagrams, and odd inversion sets.…