| 关于P—adic域上单代数群的限制根系 |
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| 引用本文： | 陈仲沪. 关于P—adic域上单代数群的限制根系[J]. 湘潭大学自然科学学报, 1989, 11(4): 94-102 |
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| 作者姓名： | 陈仲沪 |
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| 作者单位： | 湘潭大学数学系 |
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| 摘 要： | 利用实半单纯非紧致李代数的Satake图,可以给出实半单纯非紧致李代数的限度根系的理论并进行计算。类似地,本文利用p-aeic域k上单代数群的k-指标,讨论了p-apic域k上单代数群的限制根系并进行了计算。
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| 关 键 词： | 单代数群 P－adic域 限制根系 指标 |
A NOTE ON RESTRICTED ROOTS OF SIMPLE ALGEBRAIC GROUPS OVER P-ADIC FIELDS |
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| Cheng Chonhu. A NOTE ON RESTRICTED ROOTS OF SIMPLE ALGEBRAIC GROUPS OVER P-ADIC FIELDS[J]. Natural Science Journal of Xiangtan University, 1989, 11(4): 94-102 |
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| Authors: | Cheng Chonhu |
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| Affiliation: | Department of Mathematics |
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| Abstract: | By the Satake diagrams of non-compact simple Lie algebra g over R the restricted roots of g can be considesed explicitely. Let k be a p-adic field. similarly, by the-indxr of the simple algebraic group G defined over k the restricted roots of G havebeen considered in this Paper. |
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| Keywords: | non-compact simple Lie algebra satake diagram simple algebraic group over p-adic field k k-index |
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