Let g be a classical complex simple Lie algebra and q be a parabolic subalgebra.A generalized Verma module M is called a scalar generalized Verma module if it is induced from a one-dimensional representation of q.In t...Let g be a classical complex simple Lie algebra and q be a parabolic subalgebra.A generalized Verma module M is called a scalar generalized Verma module if it is induced from a one-dimensional representation of q.In this paper,we determine the first diagonal-reducible point of scalar generalized Verma modules associated to minimal parabolic subalgebras by computing explicitly the Gelfand-Kirillov dimension of the corresponding highest weight modules.展开更多
Let g be a classical complex simple Lie algebra and q be a parabolic subalgebra.Let M be a generalized Verma module induced from a one dimensional representation of q.Such M is called a scalar generalized Verma module...Let g be a classical complex simple Lie algebra and q be a parabolic subalgebra.Let M be a generalized Verma module induced from a one dimensional representation of q.Such M is called a scalar generalized Verma module.In this paper,we will determine the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras by computing explicitly the Gelfand-Kirillov dimension of the corresponding highest weight modules.展开更多
基金Supported by the National Science Foundation of China(No.12171344).
文摘Let g be a classical complex simple Lie algebra and q be a parabolic subalgebra.A generalized Verma module M is called a scalar generalized Verma module if it is induced from a one-dimensional representation of q.In this paper,we determine the first diagonal-reducible point of scalar generalized Verma modules associated to minimal parabolic subalgebras by computing explicitly the Gelfand-Kirillov dimension of the corresponding highest weight modules.
基金Supported by the National Science Foundation of China(Grant No.12171344)the National Key R&D Program of China(Grant Nos.2018YFA0701700 and 2018YFA0701701)。
文摘Let g be a classical complex simple Lie algebra and q be a parabolic subalgebra.Let M be a generalized Verma module induced from a one dimensional representation of q.Such M is called a scalar generalized Verma module.In this paper,we will determine the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras by computing explicitly the Gelfand-Kirillov dimension of the corresponding highest weight modules.
