Geodesic
Knuth relations for the hyperoctahedral groups
Journal of Algebraic Combinatorics, Tome 29 (2009) no. 4, pp. 509-535.

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

Summary: C. Bonnafé, M. Geck, L. Iancu, and T. Lam have conjectured a description of Kazhdan-Lusztig cells in unequal parameter Hecke algebras of type $B$ which is based on domino tableaux of arbitrary rank. In the integer case, this generalizes the work of D. Garfinkle. We adapt her methods and construct a family of operators which generate the equivalence classes on pairs of arbitrary rank domino tableaux described in the above conjecture.
Keywords: keywords unequal parameter iwahori-Hecke algebra, domino tableaux, Robinson-Schensted algorithm 
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     author = {Pietraho, Thomas},
     title = {Knuth relations for the hyperoctahedral groups},
     journal = {Journal of Algebraic Combinatorics},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2009__29_4_a1/}
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Pietraho, Thomas. Knuth relations for the hyperoctahedral groups. Journal of Algebraic Combinatorics, Tome 29 (2009) no. 4, pp. 509-535. http://geodesic.mathdoc.fr/item/JAC_2009__29_4_a1/