Lattices Generated by Two Orbits of Subspaces under Finite Singular Symplectic Groups

[摘要] In the paper titled “Lattices generated by two orbits of subspaces under finite classical group” byWang and Guo. The subspaces in the lattices are characterized and the geometricity is classified. In this paper, the result above is generalized to singular symplectic space. This paper characterizes the subspaces in these lattices, classifies their geometricity, and computes their characteristic polynomials.

[学科分类] 应用数学