2 papers
math.CO2026
Cyclic sieving phenomena for trees and tree-rooted maps
Mireille Bousquet-Mélou, Christian Krattenthaler
We prove cyclic sieving phenomena satisfied by corner-rooted plane trees (alias ordered trees). The sets of rooted plane trees that we consider are: (1) all trees with nodes; (…
math.CO2026
Bounded Littlewood identities with fixed number of odd rows or odd columns
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
A Littlewood identity is an identity equating a sum of Schur functions with an infinite product. A bounded Littlewood identity is one where the sum is taken over the partitions wit…