Geodesic
Crystal bases for the quantum queer superalgebra
Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1593-1627.

Voir la notice de l'article provenant de la source EMS Press

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 
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     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},
     publisher = {mathdoc},
     volume = {17},
     number = {7},
     year = {2015},
     doi = {10.4171/jems/540},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/540/}
}
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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. http://geodesic.mathdoc.fr/articles/10.4171/jems/540/

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