Geodesic
Crystal bases for the quantum queer superalgebra
Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1593-1627 Cet article a éte moissonné depuis la source EMS Press

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In this paper, we develop the crystal basis theory for the quantum queer superalgebra Uq​(q(n)). We define the notion of crystal bases and prove the tensor product rule for Uq​(q(n))-modules in the category Oint≥0​. Our main theorem shows that every Uq​(q(n))-module in the category Oint≥0​ has a unique crystal basis.
DOI : 10.4171/jems/540
Classification : 17-XX, 00-XX, 81-XX
Keywords: Quantum queer superalgebras, crystal bases, odd Kashiwara operators 
@article{JEMS_2015_17_7_a2,
     author = {Dimitar Grantcharov and Ji Hye Jung and Seok-Jin Kang and Masaki Kashiwara and Myungho Kim},
     title = {Crystal bases for the quantum queer superalgebra},
     journal = {Journal of the European Mathematical Society},
     pages = {1593--1627},
     year = {2015},
     volume = {17},
     number = {7},
     doi = {10.4171/jems/540},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/540/}
}
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AU  - Myungho Kim
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%A Masaki Kashiwara
%A Myungho Kim
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%J Journal of the European Mathematical Society
%D 2015
%P 1593-1627
%V 17
%N 7
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/540/
%R 10.4171/jems/540
%F JEMS_2015_17_7_a2
Dimitar Grantcharov; Ji Hye Jung; Seok-Jin Kang; Masaki Kashiwara; Myungho Kim. Crystal bases for the quantum queer superalgebra. Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1593-1627. doi: 10.4171/jems/540

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