Power sum decompositions of elementary symmetric polynomials

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• 作者：Hwangrae Lee ^{meso@postech.ac.kr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A69 ; 15A72 ; 05B20
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：1 March 2016
• 年：2016
• 卷：492
• 期：Complete
• 页码：89-97
• 全文大小：263 K

文摘

We bound the tensor ranks of elementary symmetric polynomials, and we give explicit decompositions into powers of linear forms. The bound is attained when the degree is odd.