On inequalities for normalized Schur functions

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• 作者：Suvrit Sra ^{suvrit@mit.edu" class="auth_mail" title="E-mail the corresponding author}
• 刊名：European Journal of Combinatorics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：51
• 期：Complete
• 页码：492-494
• 全文大小：342 K

文摘

We prove a conjecture of Cuttler et al. (2011) on the monotonicity of normalized Schur functions under the usual (dominance) partial-order on partitions. We believe that our proof technique may be helpful in obtaining similar inequalities for other symmetric functions.