2 papers
math.CO2025
A local framework for proving combinatorial matrix inversion theorems
Aditya Khanna, Nicholas A. Loehr
Combinatorial transition matrices arise frequently in the theory of symmetric functions and their generalizations. The entries of such matrices often count signed, weighted combina…
math.CO2024
Transition matrices and Pieri-type rules for polysymmetric functions
Aditya Khanna, Nicholas A. Loehr
Asvin G and Andrew O'Desky recently introduced the graded algebra P of polysymmetric functions as a generalization of the algebra of symmetric functions. This article deve…