Young diagrams as Kronecker products of symmetric or antisymmetric components
Young diagrams as Kronecker products of symmetric or antisymmetric components
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作为对称或反对称分量的克罗内克积的杨氏图
DOI：
10.1088/0305-4470/23/5/008
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
J. Draayer
中科院分区：
文献类型：
--
作者：
R. López;P. Hess;P. Rochford;J. Draayer
给出了将任何杨氏图表示为作用于由原图的行或列构成的克罗内克积的算子多项式的一般关系。利用这一关系导出了GL(N)的紧群G和H的分支规则GH，这两种分支规则都适合于数值计算。所选择的例子是SU(3)包含/暗示SO(3)和SU(4)包含/暗示SU(2)*SU(2)还原用于核结构的研究和SU(8)包含/暗示SU(3)分解用于粒子物理的研究。
A general relation is presented for expressing any Young diagram as an operator polynomial acting on the Kronecker product formed from either the rows or columns of the original diagram. This relation is used to derive branching rules GH for compact groups G and H of GL(N) which are well suited for numerical computations. The examples chosen are the SU(3) contains/implies SO(3) and SU(4) contains/implies SU(2)*SU(2) reductions employed in studies of nuclear structure and the SU(8) contains/implies SU(3) decomposition employed in studies of particle physics.