“Immanant”的概念、定义、习题解题方法及翻译-数学辞典

单词

Immanant

释义

Immanant

For an matrix, let denote any permutation , , ..., of the set of numbers 1, 2, ..., , and let be the character of the symmetric group corresponding to the partition . Then theimmanant is defined as

where the summation is over the

permutations of the Symmetric Group and

See also Determinant, Permanent

References

Littlewood, D. E. and Richardson, A. R. ``Group Characters and Algebra.'' Philos. Trans. Roy. Soc. London A 233, 99-141, 1934.

Littlewood, D. E. and Richardson, A. R. ``Immanants of Some Special Matrices.'' Quart. J. Math. (Oxford) 5, 269-282, 1934.

Wybourne, B. G. ``Immanants of Matrices.'' §2.19 in Symmetry Principles and Atomic Spectroscopy. New York: Wiley, pp. 12-13, 1970.

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