3 citations · 4 across the 4 of their papers we have counts for
6 papers
Dual pairs in complex classical groups and Lie algebras
Marisa Gaetz
In Roger Howe's 1989 paper, ``Remarks on classical invariant theory," Howe introduces the notion of a dual pair of Lie subalgebras: a pair of red…
Enumeration and Extensions of Word-representants
Marisa Gaetz, Caleb Ji
Given a finite word over a finite alphabet , consider the graph with vertex set and with an edge between two elements of if and only if the two elements alternate in…
Quantifying CDS Sortability of Permutations by Strategic Pile Size
Marisa Gaetz, Bethany Flanagan, Marion Scheepers +1
The special purpose sorting operation, context directed swap (CDS), is an example of the block interchange sorting operation studied in prior work on permutation sorting. CDS has b…
Anti-power -fixes of the Thue-Morse word
Marisa Gaetz
Recently, Fici, Restivo, Silva, and Zamboni introduced the notion of a -anti-power, which is defined as a word of the form , where $w^{(1)}, w^{(…
Support Equalities Among Ribbon Schur Functions
Marisa Gaetz, Will Hardt, Shruthi Sridhar
In 2007, McNamara proved that two skew shapes can have the same Schur support only if they have the same number of rectangles as subdiagrams. This implies that two r…
Three-person impartial avoidance games for generating finite cyclic, dihedral, and nilpotent groups
Bret Benesh, Marisa Gaetz
We study a three-player variation of the impartial avoidance game introduced by Anderson and Harary. Three players take turns selecting previously-unselected elements of a finite g…