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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| Дата: | 2018 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/837 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозиторії
Algebra and Discrete Mathematics| Резюме: | 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. |
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