Crystal bases for the quantum queer superalgebra
  In this paper, we develop the crystal basis theory for the quantum queer superalgebra $U_q(\mathfrak q(n))$. We define the notion of crystal bases and prove the tensor product rule for $U_q(\mathfrak q(n))$-modules in the category $O_int^{\geq 0}$. Our main theorem shows that every $U_q(\mathfrak q(n))$-module in the category $O_int^{\geq 0}$ has a unique crystal basis. 
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang, Masaki Kashiwara,   Myungho Kim
math.RT