John M. Campbell

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20242026

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math.CO2024

A lift of chromatic symmetric functions to $NSym$

John M. Campbell

If we consider previously introduced extensions of Stanley's chromatic symmetric function $X_{G} (x_{1}, x_{2}, \dots)$ for a graph $G$ to elements in the algebra $QSym$ of qu…

math.RT2024

A Schur-Weyl duality analogue based on a commutative bilinear operation

John M. Campbell

Schur-Weyl duality concerns the actions of $GL_{n} (C)$ and $S_{k}$ on tensor powers of the form $V^{\otimes k}$ for an $n$ -dimensional vector space $V$ . There are r…

A lift of chromatic symmetric functions to NSym

A Schur-Weyl duality analogue based on a commutative bilinear operation

A lift of chromatic symmetric functions to $NSym$