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

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• ISSN: 1726-3255
• Main Authors: Parvathi, M., Sivakumar, B., Tamilselvi, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157345
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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 combinatoria...