Abstract
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, describe the tensor product rule, and present the existence and uniqueness of crystal bases for $U_{q}(\mathfrak{q}(n))$-modules in the category $\mathcal{O}_{\textit{int}}^{\ge 0}$.
Citation
Dimitar Grantcharov. Ji Hye Jung. Seok-Jin Kang. Masaki Kashiwara. Myungho Kim. "Quantum queer superalgebra and crystal bases." Proc. Japan Acad. Ser. A Math. Sci. 86 (10) 177 - 182, December 2010. https://doi.org/10.3792/pjaa.86.177
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