R-S correspondence for the Hyper-octahedral group of type Bn - A different approach

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2007
• Hauptverfasser: Parvathi, M., Sivakumar, B., Tamilselvi, A.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2007
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/157345
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: R-S correspondence for the Hyper-octahedral group of type Bn - A different approach / M. Parvathi, B. Sivakumar, A. Tamilselvi // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 86–107. — Бібліогр.: 15 назв. — англ.

In this paper we develop a Robinson Schensted algorithm for the hyperoctahedral group of type Bn on partitions of ( 1 2 r(r + 1) + 2n) whose 2−core is δr, r ≥ 0 where δr is the partition with parts (r, r−1, . . . , 0). We derive some combinatorial properties associated with this correspondenc...