31 May ~ João Santos

Title: Schützenberger involution on Kashiwara-Nakashima tableaux

 

Abstract: The Schützenberger involution originally appeared in type A, using the model of semistandard Young tableaux. In this talk, we present a type C realization of the Schützenberger involution using the model of Kashiwara-Nakashima tableaux. Like in type A, our realization of the  Schützenberger involution in type C also leads to a flip of the Kashiwara-Nakashima crystal. Another realization in type C is due to C. Lenart using a different model.