Let H = uq(sl(2)) or u(sl(2)). By means of the standard basis of polynomial algebras, the Glebsch-Gordan formula and quantum Clebsch-Gordan formula are proved by a unified method, and the explicit formula of t...Let H = uq(sl(2)) or u(sl(2)). By means of the standard basis of polynomial algebras, the Glebsch-Gordan formula and quantum Clebsch-Gordan formula are proved by a unified method, and the explicit formula of the decomposition of V(1)^n into the direct sum of simple modules is given in this paper.展开更多
基金the National Natural Science Foundation of China (No. 10471121 10771182+2 种基金 10771183) Sino-German Project (No. GZ310) Nanjing Agricultural University Youth Science and Technology Innovation Foundation (No. KJ05028).
文摘Let H = uq(sl(2)) or u(sl(2)). By means of the standard basis of polynomial algebras, the Glebsch-Gordan formula and quantum Clebsch-Gordan formula are proved by a unified method, and the explicit formula of the decomposition of V(1)^n into the direct sum of simple modules is given in this paper.