Rook version of colored partition algebras

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• 作者：A. Joseph Kennedy (1)
  G. Muniasamy (1)
  
• 关键词：Partition algebra ; Centralizer algebra ; Direct product ; Wreath product ; Symmetric group ; 16S20 ; 16S50 ; 16S99
• 刊名：Bulletin of Mathematical Sciences
• 出版年：2013
• 出版时间：May 2013
• 年：2013
• 卷：3
• 期：1
• 页码：1-17
• 全文大小：228KB
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• 作者单位：A. Joseph Kennedy (1)
  G. Muniasamy (1)
  
  1. Department of Mathematics, Ramanujan School of Mathematics and Computer Science, Pondicherry University, Pondicherry, 605 014, India
  
• ISSN：1664-3615

文摘

We study the rook version of the colored partition algebras P k (n, G) and ${\widehat{P}_k(n,G)}$ and we obtain the corresponding Schur–Weyl dualities.