From the 1 of 5 linked papers with an AI index.
5 papers
Shuffle-compatibility for combinatorial statistics on words, parking functions, and set partitions
Spencer Daugherty, Jinting Liang
The paper defines weak and shifted shuffle-compatibility for statistics on words, parking functions, and set partitions, extending previous work on permutations, and connects these…
Structure and geometry of the tableaux algebra
Spencer Daugherty, Nicolle González, Bárbara Muniz +3
We study the monoid algebra of semistandard Young tableaux, which coincides with the Gelfand--Tsetlin semigroup ring when . Among…
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{smal…
Dimensions of toggleability spaces
Ben Adenbaum, Spencer Daugherty, Nicholas Mayers
We establish a conjecture of Defant, Hopkins, PoznanoviÄ, and Propp concerning the dimensions of toggleability spaces for products of chains, shifted staircases, type-A root poset…
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, $…