| 论非可裂F_4的不可约酉表示的精确极限(英) |
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| 引用本文： | 曹佑安,颜文,邹静晔. 论非可裂F_4的不可约酉表示的精确极限(英)[J]. 湘潭大学自然科学学报, 1997, 0(4) |
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| 作者姓名： | 曹佑安 颜文 邹静晔 |
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| 作者单位： | 湘潭大学数学系!湘潭，411105，湘潭大学数学系!湘潭，411105，湘潭大学数学系!湘潭，411105 |
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| 摘 要： | 该文利用陈仲沪文中给出的精确图,对线性连通单李群非可裂F4计算出Baldoni-SilvaandKnapp的定理1.1（b）中c0＝min的精确值.从而在条件minA＝1下精确地确定了Langlands商J（MAN,）当c＞c0时不是无穷不酉的.
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| 关 键 词： | 李群 酉表示 精确极限 |
ON THE EXPLICIT LIMITATIONS OF IRREDUCIBLE UNITARY REPRESENT ATIONS FOR NONSPLIT F_4 |
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| Cao You'an ,Yan Wen, Zou Jingye. ON THE EXPLICIT LIMITATIONS OF IRREDUCIBLE UNITARY REPRESENT ATIONS FOR NONSPLIT F_4[J]. Natural Science Journal of Xiangtan University, 1997, 0(4) |
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| Authors: | Cao You'an Yan Wen Zou Jingye |
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| Affiliation: | Cao You'an ;Yan Wen; Zou Jingye |
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| Abstract: | In this paper, using the explicit diagrams given by Cheng, for the linear connected simple Liegroup nonsplit F4,we shall work out explicitly c0=min ( )in the theoreml. 1 (b) in the paper of Baldoni-silva and Knapp. and thus we can explicitly determine the Langlands quotients J(MAN,) for nonsplit F4 are not infinilesimally unitary for c>c0 under the condition that dim A= 1. |
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| Keywords: | Lie group unitary representation explicit limitation |
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