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词汇 Immanant
分类 英语词汇 英语翻译词典
释义

Immanant

英语百科

Immanant of a matrix

(重定向自Immanant)
Immanant redirects here; it should not be confused with the philosophical immanent.

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 \lambda=(\lambda_1,\lambda_2,\ldots) be a partition of n and let \chi_\lambda be the corresponding irreducible representation-theoretic character of the symmetric group S_n. The immanant of an n\times n matrix A=(a_{ij}) associated with the character \chi_\lambda is defined as the expression

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