Crystal bases for the quantum queer superalgebra
Dimitar Grantcharov
University of Texas at Arlington, USAJi Hye Jung
Seoul National University, South KoreaSeok-Jin Kang
Seoul National University, South KoreaMasaki Kashiwara
Kyoto University, JapanMyungho Kim
Seoul National University, South Korea
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Abstract
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 for -modules in the category . Our main theorem shows that every -module in the category has a unique crystal basis.
Cite this article
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang, Masaki Kashiwara, Myungho Kim, Crystal bases for the quantum queer superalgebra. J. Eur. Math. Soc. 17 (2015), no. 7, pp. 1593–1627
DOI 10.4171/JEMS/540