Immanant of a matrix
In mathematics, the immanant of a matrix was defined by Dudley E. Littlewood and Archibald Read Richardson as a generalisation of the concepts of determinant and permanent. Let be a partition of and let be the corresponding irreducible representation-theoretic character of the symmetric group . The immanant of an matrix associated with the character is defined as the expression The determinant is a special case of the immanant, where is the alternating character , of Sn, defined by the parity of a permutation. The permanent is the case where is the trivial character, which is identically equal to 1.
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Immanant of a matrix
In mathematics, the immanant of a matrix was defined by Dudley E. Littlewood and Archibald Read Richardson as a generalisation of the concepts of determinant and permanent. Let be a partition of and let be the corresponding irreducible representation-theoretic character of the symmetric group . The immanant of an matrix associated with the character is defined as the expression The determinant is a special case of the immanant, where is the alternating character , of Sn, defined by the parity of a permutation. The permanent is the case where is the trivial character, which is identically equal to 1.
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Die Immanente ist eine von Dud ...... mmenhänge mit Schur-Polynomen.
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En mathématiques, l'immanant d ...... ntations du groupe symétrique.
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In mathematics, the immanant o ...... theory of the symmetric group.
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Die Immanente ist eine von Dud ...... , wie folgende Tabelle zeigt.
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En mathématiques, l'immanant d ...... ntations du groupe symétrique.
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In mathematics, the immanant o ...... ich is identically equal to 1.
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Immanant d'une matrice
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Immanant of a matrix
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Immanente
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