3 papers
math.CO2026
The maximal dimensions of path and graph algebras
Piotr M. Hajac, Elizabeth A. Pacheco, Åukasz Kaczmarczyk +1
We consider the class of acyclic connected directed graphs with . In this paper we find the optimal upper bound for the number of paths amongst acyclic, connected graphs w…
math.OA2026
The functoriality of moves on graphs and the extended covariant functoriality of graph algebras
Gilles G. de Castro, Piotr M. Hajac, Mateusz Lowiel +1
Combinatorics of graphs is a very powerful tool to unravel various properties of graph algebras. In particular, isomorphisms between graph algebras are often implemented by moves b…
math.RT2024
Quiver Grassmannians associated to nilpotent cyclic representations defined by single matrix
Mateusz Lowiel
In the present paper we study the geometry of the closed BiaÅynicki-Birula cells of the quiver Grassmannians associated to a nilpotent representation of a cyclic quiver defined by…