CRYSTAL BASES FOR THE QUANTUM QUEER SUPERALGEBRA AND SEMISTANDARD DECOMPOSITION TABLEAUX.

In this paper, we give an explicit combinatorial realization of the crystal B(λ) for an irreducible highest weight Uq(q(n))-module V (λ) in terms of semistandard decomposition tableaux. We present an insertion scheme for semistandard decomposition tableaux and give algorithms for decomposing the tensor product of q(n)-crystals. Consequently, we obtain explicit combinatorial descriptions of the shifted Littlewood-Richardson coefficients. [ABSTRACT FROM AUTHOR]