On Goulden-Jackson¡¯s Determinantal Formula for the Immanant

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• 作者：Matja? Konvalinka
• 关键词：immanants ; characters of the symmetric group ; symmetric functions of eigenvalues ; combinatorial proofs
• 刊名：Annals of Combinatorics
• 出版年：2010
• 出版时间：February, 2010
• 年：2010
• 卷：13
• 期：4
• 页码：511-518
• 全文大小：191.8 KB

文摘

In 1992, Goulden and Jackson found a beautiful determinantal expression for the immanant of a matrix. This paper proves the same result combinatorially. We also present a β-extension of the theorem and a simple determinantal expression for the irreducible characters of the symmetric group.