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math.CO2025
Rowmotion and Echelonmotion
Colin Defant, Yuhan Jiang, Rene Marczinzik +4
Given a linear extension of a finite poset , we consider the permutation matrix indexing the Schubert cell containing the Cartan matrix of with respect to . This yi…
math.CO2025
Homological algebra of Nakayama algebras and 321-avoiding permutations
Eirini Chavli, Rene Marczinzik
Linear Nakayama algebras over a field are in natural bijection to Dyck paths and Dyck paths are in natural bijection to 321-avoiding bijections via the Billey-Jockusch-Stanley…
math.CO2025
On the global dimension of Nakayama algebras
Viktória Klász, René Marczinzik, Anton Mellit +2
We study the global dimension of Nakayama algebras. In the case of linear Nakayama algebras, which are in canonical bijection to Dyck paths, we show that the global dimension has t…