Relative Left Derived Functors of Tensor Product Functors Jun Fu WANG Zhao Yong HUANG Abstract We introduce and study the relative left derived functor Tor_n^((J,J'))(-,-)in the module category,which unifies sever...Relative Left Derived Functors of Tensor Product Functors Jun Fu WANG Zhao Yong HUANG Abstract We introduce and study the relative left derived functor Tor_n^((J,J'))(-,-)in the module category,which unifies several related left derived functors.Then we give some criteria for computing the J-resolution dimensions of modules in terms of the properties of Tor_n^((J,J'))(-,-).展开更多
A New Functor from D_5-Mod to E_6-Mod Xiao Ping XU Abstract We find a new representation of the simple Lie algebra of type E_6 on the polynomial algebra in 16 variables,which gives a fractional representation of the c...A New Functor from D_5-Mod to E_6-Mod Xiao Ping XU Abstract We find a new representation of the simple Lie algebra of type E_6 on the polynomial algebra in 16 variables,which gives a fractional representation of the corresponding Lie group on 16-dimensional space.Using this representation and Shen's idea of mixed product,we construct a new functor from D_5-Mod to E_6-Mod.A condition for the functor to map展开更多
文摘Relative Left Derived Functors of Tensor Product Functors Jun Fu WANG Zhao Yong HUANG Abstract We introduce and study the relative left derived functor Tor_n^((J,J'))(-,-)in the module category,which unifies several related left derived functors.Then we give some criteria for computing the J-resolution dimensions of modules in terms of the properties of Tor_n^((J,J'))(-,-).
文摘A New Functor from D_5-Mod to E_6-Mod Xiao Ping XU Abstract We find a new representation of the simple Lie algebra of type E_6 on the polynomial algebra in 16 variables,which gives a fractional representation of the corresponding Lie group on 16-dimensional space.Using this representation and Shen's idea of mixed product,we construct a new functor from D_5-Mod to E_6-Mod.A condition for the functor to map