Geodesic
A definition of the crystal commutor using Kashiwara's involution
Journal of Algebraic Combinatorics, Tome 29 (2009) no. 2, pp. 261-268.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Henriques and Kamnitzer defined and studied a commutor for the category of crystals of a finite dimensional complex reductive Lie algebra. We show that the action of this commutor on highest weight elements can be expressed very simply using Kashiwara's involution on the Verma crystal.
Keywords: keywords coboundary category, crystals, crystal commutor 
@article{JAC_2009__29_2_a0,
     author = {Kamnitzer, Joel and Tingley, Peter},
     title = {A definition of the crystal commutor using {Kashiwara's} involution},
     journal = {Journal of Algebraic Combinatorics},
     pages = {261--268},
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     volume = {29},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2009__29_2_a0/}
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Kamnitzer, Joel; Tingley, Peter. A definition of the crystal commutor using Kashiwara's involution. Journal of Algebraic Combinatorics, Tome 29 (2009) no. 2, pp. 261-268. http://geodesic.mathdoc.fr/item/JAC_2009__29_2_a0/