不可分解的

/(x~m — 1). In the case of m being odd ,all quasi-cyclic codes are shown to be decomposable into the direct sum of a fixed number of cyclic irreducible A-submodules.

在m为奇数的时候，所有的拟循环码均可以分解为一些有限数目的循环不可约A-子模的直和。

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

In [3], Professor Wang Xian-dong discussed the evaluation modules of Loop algebras of Lie algebras with a triangular decomposition; particularly, irreducibility of the tensor product of finitely many such modules was partially determined.

在[3]中，王宪栋教授讨论了可三角分解李代数其Loop代数的赋值模；特别值得一提的是，在一定程度上确定了有限多个赋值模其张量积的不可约性。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中，作为两个重要的工具，对幂零李代数其模的权空间分解(第1节)，以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

An complete algorithm for reconstruction of polyhedral model from orthographic views based on combination of independent loops is proposed.

提出了一种基于平面独立环路组合的多面体视图三维重建完整算法，即先把三视图中的每个视图分解成一个个独立的不可再分的平面独立环路，然后从三面视图的三个环路组中逐个取出可能的环路组合按构造实心体几何方法构成局部实心体模型，最后将局部实心体模型组合成整体实心体模型。

MSG and SG theory are generalized to compressible material based on a newdecomposition of strain gradient tensor,because the original MSG and SG theoriesare only suitable for incompressible materials.

因为原先的MSG和SG理论只能适用于不可压缩材料，所以在重新分解应变梯度张量的基础上，本文把MSG和SG理论拓展到可压缩材料。

By decomposing the tensor representation of Uqslinto the direct sum of the ir-reducible representations of it,we can get the Schur-Weyl duality between Uqsland Hwhich is announced in[Jim86a]without proof where q is not a root ofunit.

通过将Uqsl的张量表示分解成它的不可约表示的直和，我们得到当q不是单位根时，Uqsl和H间的Schur-Weyl对偶。

In recent years, K-theory has played an important role in studying the Operator Algebras. C. L. Jiang, J. S. Fang and Y. Cao find the connection between the uniquely strongly irreducible decomposition up to similarity of Type I operators and the K_0-groups of the commutants of the operators in 1990s.

近年来，K理论对算子代数与算子理论的发展起到了重要的推动作用。20世纪90年代，蒋春澜，房军生，曹阳等人发现了Ⅰ型算子的强不可约分解在相似意义下的唯一性与其换位代数的K_0群之间的内在联系。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。