Geodesic
R-S correspondence for the Hyper-octahedral group of type $B_n$~-- A different approach
Algebra and discrete mathematics, no. 1 (2007), pp. 86-107

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In this paper we develop a Robinson Schensted algorithm for the hyperoctahedral group of type $B_n$ on partitions of $(\frac{1}{2}r(r+1)+2n)$ whose $2-$core is $\delta_r$, $r\geq 0$ where $\delta_r$ is the partition with parts $(r,r-1,\dots,0)$. We derive some combinatorial properties associated with this correspondence.
Keywords: Robinson Schensted correspondence, Hyperoctahedral group of type $B_n$
Mots-clés : Domino tableau. 
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     author = {M. Parvathi and B. Sivakumar and A. Tamilselvi},
     title = {R-S correspondence for the {Hyper-octahedral} group of  type $B_n$~-- {A} different approach},
     journal = {Algebra and discrete mathematics},
     pages = {86--107},
     publisher = {mathdoc},
     number = {1},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2007_1_a7/}
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M. Parvathi; B. Sivakumar; A. Tamilselvi. R-S correspondence for the Hyper-octahedral group of  type $B_n$~-- A different approach. Algebra and discrete mathematics, no. 1 (2007), pp. 86-107. http://geodesic.mathdoc.fr/item/ADM_2007_1_a7/