A local characterization of crystals for the quantum queer superalgebraAlgebra & Discrete Mathematics
|Ezgi Kantarcı Oğuz, University of Southern California
|Mon, Apr 30 2018, 3:10PM
We introduce crystal operators on semistandard shifted tableaux, giving a new proof that Schur P-functions are Schur positive. We define a queer crystal operator that constructs a connected queer crystal graph on semistandard shifted tableaux of a given shape. We also give local axioms for queer regular graphs, generalizing Stembridge’s axioms, that we conjecture characterize queer crystals. Joint work with Sami Assaf.