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math.QA2010★ 2 cited
Quantum Queer Superalgebra and Crystal Bases
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang +2
In this paper, we develop the crystal basis theory for the quantum queer superalgebra $\Uq$. We define the notion of crystal bases, describe the tensor product rule, and present th…
math.RT2010
Admissible Pictures and -Littlewood-Richardson Tableaux
Ji Hye Jung, Seok-Jin Kang, Young-Wook Lyoo
We construct a natural bijection between the set of admissible pictures and the set of -Littlewood-Richardson tableaux.