Quantum queer superalgebra and crystal bases
Grantcharov, Dimitar ; Jung, Ji Hye ; Kang, Seok-Jin ; Kashiwara, Masaki ; Kim, Myungho
Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, p. 177-182 / Harvested from Project Euclid
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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 $\mathcal{O}_{\textit{int}}^{\ge 0}$.
Publié le : 2010-10-15
Classification:  Quantum queer superalgebra,  crystal bases,  odd Kashiwara operators,  17B37,  81R50 
@article{1291644509,
     author = {Grantcharov, Dimitar and Jung, Ji Hye and Kang, Seok-Jin and Kashiwara, Masaki and Kim, Myungho},
     title = {Quantum queer superalgebra and crystal bases},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {86},
     number = {1},
     year = {2010},
     pages = { 177-182},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1291644509}
}

Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho. Quantum queer superalgebra and crystal bases. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp.  177-182. http://gdmltest.u-ga.fr/item/1291644509/