Geodesic
Schensted-type correspondences and plactic monoids for types $B_n$ and $D_n$
Journal of Algebraic Combinatorics, Tome 18 (2003) no. 2, pp. 99-133.

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

Summary: We use Kashiwara's theory of crystal bases to study plactic monoids for $U _{q}( so _{2 n+1})$ and $U _{q}( so _{2 n })$. Simultaneously we describe a Schensted type correspondence in the crystal graphs of tensor powers of vector and spin representations and we derive a Jeu de Taquin for type $B$ from the Sheats sliding algorithm.
Keywords: combinatorics, quantum algebra, representation theory 
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     author = {Lecouvey, C\'edric},
     title = {Schensted-type correspondences and plactic monoids for types $B_n$ and $D_n$},
     journal = {Journal of Algebraic Combinatorics},
     pages = {99--133},
     publisher = {mathdoc},
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     number = {2},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2003__18_2_a1/}
}
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Lecouvey, Cédric. Schensted-type correspondences and plactic monoids for types $B_n$ and $D_n$. Journal of Algebraic Combinatorics, Tome 18 (2003) no. 2, pp. 99-133. http://geodesic.mathdoc.fr/item/JAC_2003__18_2_a1/