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math.CO2026
The Antipodes of -Quasi-Symmetric Functions and Non-Commutative Quasi-Symmetric Functions
Shaul Zemel
We prove the antipode formula for the -deformations of quasi-symmetric functions. We also define a fundamental basis for non-commutative quasi-symmetric functions, and establish…
math.CO2026
Polynomial Expressions for Symmetric Group Characters on Cycles
Tom Moshaiov, Shaul Zemel
In \cite{[CZ]}, Cohen and Zemel showed that for a partition , the dimension of the irreducible representation of corresponding to the partition $(n-k,λ) \vdash n…