| 伪辛空间F_q~(2v+2+l)中一类2-维子空间的结合方案及其结构 |
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| 引用本文： | 张更生. 伪辛空间F_q~(2v+2+l)中一类2-维子空间的结合方案及其结构[J]. 数学物理学报(A辑), 2004, 0(4) |
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| 作者姓名： | 张更生 |
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| 作者单位： | 河北师范大学数学与信息科学学院 石家庄 |
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| 基金项目： | 河北省自然科学基金(199174)河北师范大学青年基金资助 |
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| 摘 要： | 该文利用伪辛空间Fq(2v+2+l)中一类2-维非迷向子空间构作了具有2q-1个结合类的交换 的但非对称的结合方案,并且讨论了它的结构,证明了它是其基础域上的加法群和乘法群上的 熟知的结合方案的扩张.
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| 关 键 词： | 伪辛空间 结合方案 结合方案的扩张 |
The Association Schemes of a Kind of 2-dimensional Subspaces of Pseudo-symplectic Space F_q~(2v+2+l) and Its Structure |
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| Zhang Gengsheng. The Association Schemes of a Kind of 2-dimensional Subspaces of Pseudo-symplectic Space F_q~(2v+2+l) and Its Structure[J]. Acta Mathematica Scientia, 2004, 0(4) |
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| Authors: | Zhang Gengsheng |
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| Abstract: | This paper obtains a commutative and non-symmetric association scheme of class 2q-1 by using a kind of 2-dimensional non-isotropic subspaces of singular pseudo symplectic space Fq(2v+2+l) and discusses its structure. This scheme can be obtained by the extension of those of additive group and multiplicative group of the base field and some other simple association schemes. |
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| Keywords: | Pseudo-symplectic space Association schemes Extension of association schemes. |
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