5 papers
A Two-Color Lift of the Shifted -Schur Measure
S. -J. Lee
At the specialization , , the shifted -Schur function associated with the modified odd Greaves--Jing--Zhu operator is . Instead of merging the two alph…
A Shifted -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 -Schur functions generated by this operator are obtaine…
Transition Matrices between Shifted -Schur Bases and Cyclotomic Schur -Positivity
S. -J. Lee
For a strict partition , let be the shifted -Schur function arising from the modified Greaves--Jing--Zhu operator on the odd power-sum ring.…
Mixed Products of Modified Greaves--Jing--Zhu Operators
S. -J. Lee
Let 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…
A Modified Greaves--Jing--Zhu Operator and a Shifted -Gessel Formula
S. -J. Lee
The recent work of Greaves, Jing, and Zhu gives an operator construction for the -Schur functions and the -Schur measure. Motivated by their construction, we consider the sam…