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math.RT2011★ 4 cited
Crystal bases for the quantum queer superalgebra
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang +2
In this paper, we develop the crystal basis theory for the quantum queer superalgebra . We define the notion of crystal bases and prove the tensor product rule…
math.RT2011★ 2 cited
Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang +2
In this paper, we give an explicit combinatorial realization of the crystal B(λ) for an irreducible highest weight U_q(q(n))-module V(λ) in terms of semistandard decomposition tabl…