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

In the paper titled “Lattices generated by two orbits of subspaces under finite classical group” by Wang 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...

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Main Author: Xuemei Liu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/732808
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author Xuemei Liu
author_facet Xuemei Liu
author_sort Xuemei Liu
collection DOAJ
description In the paper titled “Lattices generated by two orbits of subspaces under finite classical group” by Wang 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.
format Article
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institution OA Journals
issn 1110-757X
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language English
publishDate 2013-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-e26e4c4a173d4df3bb019e342a84e8ac2025-08-20T02:21:14ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/732808732808Lattices Generated by Two Orbits of Subspaces under Finite Singular Symplectic GroupsXuemei Liu0College of Science, Civil Aviation University of China, Tianjin 300300, ChinaIn the paper titled “Lattices generated by two orbits of subspaces under finite classical group” by Wang 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.http://dx.doi.org/10.1155/2013/732808
spellingShingle Xuemei Liu
Lattices Generated by Two Orbits of Subspaces under Finite Singular Symplectic Groups
Journal of Applied Mathematics
title Lattices Generated by Two Orbits of Subspaces under Finite Singular Symplectic Groups
title_full Lattices Generated by Two Orbits of Subspaces under Finite Singular Symplectic Groups
title_fullStr Lattices Generated by Two Orbits of Subspaces under Finite Singular Symplectic Groups
title_full_unstemmed Lattices Generated by Two Orbits of Subspaces under Finite Singular Symplectic Groups
title_short Lattices Generated by Two Orbits of Subspaces under Finite Singular Symplectic Groups
title_sort lattices generated by two orbits of subspaces under finite singular symplectic groups
url http://dx.doi.org/10.1155/2013/732808
work_keys_str_mv AT xuemeiliu latticesgeneratedbytwoorbitsofsubspacesunderfinitesingularsymplecticgroups