Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Symplectic keys and Demazure atoms in type C
Publication Date:	2019-12-10
Authors:	- João Miguel Magalhães Santos
Abstract:	We compute, mimicking the Lascoux-Schützenberger 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 Schützenberger evacuation is defined to realize that involution.
Institution:	DMUC 19-39
Online version:	http://www.mat.uc.pt...prints/eng_2019.html
Download:	Not available