| 关于广义Cartan矩阵的注记 |
| |
| 引用本文： | 靳全勤.关于广义Cartan矩阵的注记[J].河北大学学报(自然科学版),1995(3). |
| |
| 作者姓名： | 靳全勤 |
| |
| 作者单位： | Department of Mathematics，Hebei University，Baoding 071002 |
| |
| 摘 要： | 本文证明了有限型、仿射型及严格双曲型的广义Ｃａｒｔａｎ矩阵中每一元素的代数余子式均大于０，而双曲型广义Ｃａｒｔａｎ矩阵中每一元素的代数余子式都是非负的。还证明了双曲型广义Ｃａｒｔａｎ矩阵的行列式小于０。对一类所谓的超双曲型广义Ｃａｒｔａｎ矩阵，给出了其分类定理。
|
| 关 键 词： | 广义Cartan矩阵，代数余子式 |
Notes on Generahsed Cartan Matrices |
| |
| Jin Quanqin.Notes on Generahsed Cartan Matrices[J].Journal of Hebei University (Natural Science Edition),1995(3). |
| |
| Authors: | Jin Quanqin |
| |
| Abstract: | In this paper,we investigate some properties of generalised Cartanmatrices. First we prove that the cofactors of generalised Cartan matrices of finitetype。 affine type or strictly hyperbolic type are positive and the cofactors of generalisedCartan matrices of hyperbolic type are non一negative。Then we prove that the determinantsof generalised Cartan matrices of hyperbolic type are negative。Finally, we give the classifi-cation theorem for the generalised Cartan matrices of Super一hyperbolic type。 |
| |
| Keywords: | Generalised Cartan matrix Cofactor of a determinant |
| 本文献已被 CNKI 等数据库收录！ |
