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A local characterization of crystals for the quantum queer superalgebra

Algebra & Discrete Mathematics

Speaker: Ezgi Kantarcı Oğuz, University of Southern California
Related Webpage: https://sites.google.com/view/ezgikantarcioguz/main-page
Location: 1147 MSB
Start time: 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.