Aditya Khanna

activity

20242026

most citedTransition matrices and Pieri-type rules for polysymmetric functions

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.CO2026

The $h$ -expansion of the Plethysm $h_{n} [p_{r}]$ and Polysymmetric Expansions in $h^{\otimes}$ and $e^{\otimes}$

Aditya Khanna

The algebra of polysymmetric functions (PSym) is defined as the tensor product of copies of the algebra of symmetric functions (Sym) where the $i$ th copy has variables scaled by $i…

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★ 1 cited

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 $Λ$ of polysymmetric functions as a generalization of the algebra $Λ$ of symmetric functions. This article develo…

The h-expansion of the Plethysm hn​[pr​] and Polysymmetric Expansions in h⊗ and e⊗

A local framework for proving combinatorial matrix inversion theorems

Transition matrices and Pieri-type rules for polysymmetric functions

The $h$ -expansion of the Plethysm $h_{n} [p_{r}]$ and Polysymmetric Expansions in $h^{\otimes}$ and $e^{\otimes}$