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R-S correspondence for the Hyper-octahedral group of type \(B_n\) - A different approach

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 \((r,r-1,\ldots,0)\). We derive  some combinatorial properties...

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Bibliographic Details
Main Authors: Parvathi, M., Sivakumar, B., Tamilselvi, A.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/837
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Summary: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 \((r,r-1,\ldots,0)\). We derive  some combinatorial properties associated with this correspondence.