量子群ν_q(s/(2))上的模

Modules over Quantum Group ν_q(sl(2))

研究了量子群ν_q(sl(2))的具有某种泛性质的无限维的模。并由此得到ν_q(sl(2))上的单模。用新的方法证明了ν_q(sl(2))上的每个有限维单模均同构于这样的单模。

Infinite-dimensional ν_q(sl(2))-modules with universal property are given and their submodules are studied, from which all finite-dimensional simple modules over νq(sl(2)) are obtained.Every finite-dimensional simple module is isomorphic to some of such simple modules.