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

• Date: 2018
• Main Authors: Parvathi, M., Sivakumar, B., Tamilselvi, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Robinson Schensted correspondence,Hyperoctahedral group of type \(B_n\); Domino tableau; 05E10; 20C30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/837
• Journal Title: Algebra and Discrete Mathematics

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...