Crystal bases for the quantum superalgebra 𝑈_{𝑞}(𝔤𝔩(𝔪,𝔫))

Benkart, Georgia ¹   ; Kang, Seok-Jin ²   ; Kashiwara, Masaki ³

¹ Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706–1388
² Department of Mathematics, Seoul National University, Seoul 151-742, Korea
³ Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606–8502, Japan

Journal of the American Mathematical Society, Tome 13 (2000) no. 2, pp. 295-331

Résumé

A crystal base theory is introduced for the quantized enveloping algebra of the general linear Lie superalgebra $\mathfrak {gl}(m,n)$, and an explicit realization of the crystal base is given in terms of semistandard tableaux.

Détail

DOI : 10.1090/S0894-0347-00-00321-0

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