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math.CO2025
Lexical tableaux and quasisymmetric functions
John M. Campbell, Spencer Daugherty
There is a natural bijection between standard immaculate tableaux of composition shape and length and the $ \left\{ \begin{smallmatrix} n \\ k \end{smallm…
math.CO2025
Dimensions of toggleability spaces
Ben Adenbaum, Spencer Daugherty, Nicholas Mayers
We establish a conjecture of Defant, Hopkins, Poznanović, and Propp concerning the dimensions of toggleability spaces for products of chains, shifted staircases, type-A root posets…
math.CO2024
A Hopf algebra generalization of the symmetric functions in partially commutative variables
Spencer Daugherty
The quasisymmetric functions, , are generalized for a finite alphabet by the colored quasisymmetric functions, , in partially commutative variables. Their dual, $…