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单词 Young diagram
释义

Young diagram

中文百科

杨氏矩阵 Young tableau

(重定向自Young diagram)

在数学中,杨表(Young tableau),又称杨氏矩阵。是对组合表示理论和舒伯特演算很有用的工具。它提供了一种方便的方式来描述对称和一般线性群的群表示,并研究它们的性质。杨表是剑桥大学数学家 Alfred Young 在1900年推提出。然后,它被弗罗贝尼乌斯应用对称群的研究中。他们的理论是由许多数学家进一步发展,包括 Percy MacMahon、W. V. D. Hodge、G. de B. Robinson、吉安-卡洛·罗塔、Alain Lascoux、Marcel-Paul Schützenberger 和 Richard P. Stanley 等。

英语百科

Young tableau 杨氏矩阵

(重定向自Young diagram)
Skew tableau of shape (5, 4, 2, 2) / (2, 1), English notation
Diagrama de Young de forma (4,3,1,1) (error en la figura)
Diagrama de Young de forma (4,3,1,1) (error en la figura), representación francesa. Se destaca la casilla (2,3).

In mathematics, a Young tableau (pl.: tableaux) is a combinatorial object useful in representation theory and Schubert calculus. It provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties. Young tableaux were introduced by Alfred Young, a mathematician at Cambridge University, in 1900. They were then applied to the study of the symmetric group by Georg Frobenius in 1903. Their theory was further developed by many mathematicians, including Percy MacMahon, W. V. D. Hodge, G. de B. Robinson, Gian-Carlo Rota, Alain Lascoux, Marcel-Paul Schützenberger and Richard P. Stanley.

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更新时间:2025/6/20 17:09:33