本刊英文版Vol.31(2015),No.7论文摘要

Differential Equations and Singular Vectors in Verma Modules over sl(n,C)Wei XIAO Abstract Xu introduced a system of partial differential equations to investigate singular vectors in the Verma module of highest weightλover s[(n,C).He gave a

Differential Equations and Singular Vectors in Verma Modules over sl（n, C） Wei XIAO Abstract Xu introduced a system of partial differential equations to investigate singular vectors in the Verma module of highest weight A over sl（n, C）. He gave a differential-operator representation of the symmetric group Sn on the corresponding space of truncated power series and proved that the solution space of the system is spanned by {σ（1） ｜ σ ∈ Sn}.