16 citations · 46 across the 9 of their papers we have counts for
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Connecting descent and peak polynomials
Ezgi Kantarci Oğuz
A permutation has a descent at if . A descent is called a peak if and is not a descent. The size of the set of all permutati…
A Counter Example to the Shuffle Compatiblity Conjecture
Ezgi Kantarcı Oğuz
The shuffle product has a connection with several useful permutation statistics such as descent and peak, and corresponds to the multiplication operation in the corresponding desce…
A local characterization of crystals for the quantum queer superalgebra
Sami Assaf, Ezgi Kantarci Oguz
We define operators on semistandard shifted tableaux and use Stembridge's local characterization for regular graphs to prove they define a crystal structure. This gives a new proof…
Crystal graphs for shifted tableaux
Sami Assaf, Ezgi Kantarcı Oğuz
We define crystal operators on semistandard shifted tableaux, giving a new proof that Schur -functions are Schur positive. We define a queer crystal operator to construct a conn…