| 广义Kac-Moody代数的根系 |
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| 引用本文： | 张海山.广义Kac-Moody代数的根系[J].首都师范大学学报(自然科学版),1993(1). |
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| 作者姓名： | 张海山 |
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| 作者单位： | 首都师范大学数学系 |
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| 摘 要： | 本文描述了在一定条件下带有虚单根的广义Kac—Moody代数的根系,证明了其实根系就是某个与其相关的kac-Moody代数的实根系;解决了其虚根系的构造并确定了其生成元的最小个数;此外还确定了只含有一个实单根和一个虚单根的广义Kac-Moody代数的所有根。
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| 关 键 词： | 广义Kac-Moody代数 实(虚)单根 Weyl群 |
The Root System of Generalized Kac-Moody Algebras |
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| Zhang Haischan.The Root System of Generalized Kac-Moody Algebras[J].Journal of Capital Normal University(Natural Science Edition),1993(1). |
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| Authors: | Zhang Haischan |
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| Institution: | Zhang Haischan Department of Mathematics,Capital Normal University |
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| Abstract: | The paper studies the root system of generalized Kac-Moody algebras with imaginarysimple roots on the conditions. Its real root system is the real root system of Kac-Moodyalgebras G~R associated with G. The paper also gives an explicit descrpition of the imaginaryroot system of generalized Kac-Moody algebras G, and proves that minimal number ofgenerators. All roots of generalized Kac-Moody algebras only with a real simple root andan imaginary simple root. |
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| Keywords: | generalized Kac-Moody algebras real (imaginary) simple root Weyl group |
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