In this paper,we study irreducible non-weight modules over the mirror Heisenberg-Virasoro algebra D,including Whittaker modules,U(Cd_(0))-free modules and their tensor products.More precisely,we give the necessary and...In this paper,we study irreducible non-weight modules over the mirror Heisenberg-Virasoro algebra D,including Whittaker modules,U(Cd_(0))-free modules and their tensor products.More precisely,we give the necessary and sufficient conditions for the Whittaker modules to be irreducible.We determine all the D-module structures on U(Cd_(0)),and find the necessary and sufficient conditions for these modules to be irreducible.At last,we determine the necessary and sufficient conditions for the tensor products of Whittaker modules and U(Cd_(0))-free modules to be irreducible,and obtain that any two such tensor products are isomorphic if and only if the corresponding Whittaker modules and U(Cd_(0))-free modules are isomorphic.These lead to many new irreducible non-weight modules over D.展开更多
文摘通过溶剂热法制备Cd0.01Co0.79Cr0.8S2粉体。XRD、FESEM、TEM、纳米激光粒度分析表明制备的Cd0.01Co0.79Cr0.8S2是纳米级的粉体,颗粒细小、结晶良好,呈现简单立方结构。Cd0.01Co0.79Cr0.8S2粉体的比表面积为6.582 0m2/g,属于介孔材料。Cd0.01Co0.79Cr0.8S2在可见光区域透光率超过95%,禁带宽度为3.49 e V,电阻较大,体积电阻率为108!·mm,呈现较好的绝缘性。Cd0.01Co0.79Cr0.8S2在688 nm左右发射一个较强的红光带,显示了较好的荧光性能,有望在LED器件中获得应用。
基金supported by China Scholarship Council(Grant No.201906340096)National Natural Science Foundation of China(Grant Nos.11771410 and 11931009)+2 种基金supported by National Natural Science Foundation of China(Grant No.11801066)supported by National Natural Science Foundation of China(Grant No.11871190)Natural Sciences and Engineering Research Council of Canada(Grant No.311907-2020).
文摘In this paper,we study irreducible non-weight modules over the mirror Heisenberg-Virasoro algebra D,including Whittaker modules,U(Cd_(0))-free modules and their tensor products.More precisely,we give the necessary and sufficient conditions for the Whittaker modules to be irreducible.We determine all the D-module structures on U(Cd_(0)),and find the necessary and sufficient conditions for these modules to be irreducible.At last,we determine the necessary and sufficient conditions for the tensor products of Whittaker modules and U(Cd_(0))-free modules to be irreducible,and obtain that any two such tensor products are isomorphic if and only if the corresponding Whittaker modules and U(Cd_(0))-free modules are isomorphic.These lead to many new irreducible non-weight modules over D.
