S.-J. Lee

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math.CO2026

A Shifted $t$ -Schur Weight from the Modified Odd Operator

S. -J. Lee

We study the one-time weight on strict partitions obtained from the modified odd Greaves--Jing--Zhu operator. The shifted $t$ -Schur functions generated by this operator are obtaine…

math.CO2026

Transition Matrices between Shifted $t$ -Schur Bases and Cyclotomic Schur $Q$ -Positivity

S. -J. Lee

For a strict partition $λ$ , let $Q_{λ} (X; t) = Q_{λ} [X - tX]$ be the shifted $t$ -Schur function arising from the modified Greaves--Jing--Zhu operator on the odd power-sum ring. We…

math.CO2026

Mixed Products of Modified Greaves--Jing--Zhu Operators

S. -J. Lee

Let $Y (z; t)$ be the modified Greaves--Jing--Zhu operator on the odd power-sum ring. We first point out that this operator can be obtained from the classical neutral operat…

math.CO2026

A Modified Greaves--Jing--Zhu Operator and a Shifted $t$ -Gessel Formula

S. -J. Lee

The recent work of Greaves, Jing, and Zhu gives an operator construction for the $t$ -Schur functions and the $t$ -Schur measure. Motivated by their construction, we consider the sam…

A Shifted t-Schur Weight from the Modified Odd Operator

Transition Matrices between Shifted t-Schur Bases and Cyclotomic Schur Q-Positivity

Mixed Products of Modified Greaves--Jing--Zhu Operators

A Modified Greaves--Jing--Zhu Operator and a Shifted t-Gessel Formula

A Shifted $t$ -Schur Weight from the Modified Odd Operator

Transition Matrices between Shifted $t$ -Schur Bases and Cyclotomic Schur $Q$ -Positivity

A Modified Greaves--Jing--Zhu Operator and a Shifted $t$ -Gessel Formula