The definition and properties of the highest weight module of wU ~ d_i are given and its center is constructed. 给出了wUid的最高权模的定义和性质,并构造了它的中心。
The Highest Weight(HW) Module and the Center of the Weak Quantum Algebra wU_i ~ d 弱量子代数wUi~d的最高权模和中心
By using the inverse matrix of Cartan matrix, the expansion of the highest weight of any irreducible representation for the simple Lie algebra g by its simple roots is given, and the expression of given by Dynkin for the simple Lie algebra is also obtained. 利用Cartan矩阵的逆矩阵,得到了单李代数g任一不可约表示的最高权关于g的素根的展开式,并得到了Dynkin所给的单李代数r值的表达式。
Thus, we can make up of the " missible lattice " and the stabilizer over the integrable highest weight module of the ( A ) and the stabilizer over the integrable highest weight module of the ( A ) and study the character of their structures. 对^g(A)的可积最高权模构造了容许格及稳定子,并研究了它们的结构性质。
The construction properties of the Schubert submodule are studied. It is proved that the integrable highest weight module can be represented as an union of Schubert submodules which are total ordered. 论述了可积最高权模的Schubert子模的结构性质,证明了可积最高权模可以表示成有全序关系的Schubert子模的并集。