Crystal Bases for the Quantum Superalgebra $U_q(gl(m,n))$

Georgia Benkart, Seok-Jin Kang, Masaki Kashiwara

We develop a crystal base theory for the general linear Lie superalgebra $gl(m,n)$. We prove that any irreducible $U_q(gl(m,n))$-module in some category has a crystal base, and pro…