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Extremal tensor products of Demazure crystals
Sami Assaf, Anne Dranowski, Nicolle Gonzalez
Demazure crystals are subcrystals of highest weight irreducible -crystals. In this article, we study tensor products of a larger class of subcrystals, called extremal…
Heaps, crystals, and preprojective algebra modules
Anne Dranowski, Balazs Elek, Joel Kamnitzer +1
Fix a simply-laced semisimple Lie algebra. We study the crystal , were is a dominant minuscule weight and is a natural number. On one hand, can be realized…
Computing fusion products of MV cycles using the Mirkovic-Vybornov isomorphism
Roger Bai, Anne Dranowski, Joel Kamnitzer
The fusion of two Mirkovic-Vilonen cycles is a degeneration of their product, defined using the Beilinson-Drinfeld Grassmannian. In this paper, we put in place a conceptually eleme…
Comparing two perfect bases
Anne Dranowski
We study a class of varieties which generalize the classical orbital varieties of Joseph. We show that our generalized orbital varieties are the irreducible components of a Mirkovi…
Generalized orbital varieties for Mirkovic-Vybornov slices as affinizations of Mirkovic-Vilonen cycles
Anne Dranowski
We show that generalized orbital varieties for Mirkovic-Vybornov slices can be indexed by semi-standard Young tableaux. We also check that the Mirkovic-Vybornov isomorphism sends g…