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https://hdl.handle.net/10316/103872
Title: | Symplectic Keys and Demazure Atoms in Type C | Authors: | Santos, João Miguel | Issue Date: | 2021 | Publisher: | Electronic Journal of Combinatorics | Project: | UID/MAT/00324/2019 info:eu-repo/grantAgreement/null/null/PD/BD/142954/2018/null/A combinatorial Approach to Lascouxs Non-symmetric Version of a Littlewood Identify in type C |
Serial title, monograph or event: | Electronic Journal of Combinatorics | Volume: | 28 | Issue: | 2 | Abstract: | We compute, mimicking the Lascoux-Sch utzenberger type A combinatorial procedure, left and right keys for a Kashiwara-Nakashima tableau in type C. These symplectic keys have a similar role as the keys for semistandard Young tableaux. More precisely, our symplectic keys give a tableau criterion for the Bruhat order on the hyperoctahedral group and cosets, and describe Demazure atoms and characters in type C. The right and the left symplectic keys are related through the Lusztig involution. A type C Sch utzenberger evacuation is de ned to realize that involution. | URI: | https://hdl.handle.net/10316/103872 | ISSN: | 1077-8926 | DOI: | 10.37236/9235 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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