Crystal Bases for the Quantum Superalgebra Uq(gl(m,n))
Georgia Benkart, Seok-Jin Kang, Masaki Kashiwara
Abstract
We develop a crystal base theory for the general linear Lie superalgebra gl(m,n). We prove that any irreducible Uq(gl(m,n))-module in some category has a crystal base, and prove that its associated crystal base is parameterized by semistandard tableaux.
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