R-S correspondence for the Hyper-octahedral group of  type $B_n$~-- A different approach

M. Parvathi; B. Sivakumar; A. Tamilselvi

Geodesic

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R-S correspondence for the Hyper-octahedral group of type

B_{n}

~-- A different approach

M. Parvathi ; B. Sivakumar ; A. Tamilselvi

Algebra and discrete mathematics, no. 1 (2007), pp. 86-107.

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

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) + 2 n)

whose

2 -

core is

δ_{r}

r \geq 0

where

δ_{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},
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     pages = {86--107},
     publisher = {mathdoc},
     number = {1},
     year = {2007},
     language = {en},
     url = {https://geodesic-test.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. https://geodesic-test.mathdoc.fr/item/ADM_2007_1_a7/