On sheets of orbit covers for classical semisimple Lie groups

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：lpy2009

【摘要】

：

David Vogan gave programmatic conjectures about the Dixmier's map and he made two conjectures that induction may be independent of the choice of parabolic g

【作者】

：

LIANG Ke梁科 Hou zixin侯自新 Lu Lin

【机构】

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DepartmentofMathematics

【出处】

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中国科学：数学英文版

【发表日期】

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2002年2期

【关键词】

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LIE group representation of LIE group Dixmier's map GEOMETRIC ORBIT data.

【基金项目】

：

Acknowledgements This work was supported by the National Natural Science Foundation of China(Grant Nos. 19731040 & 10171048).

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David Vogan gave programmatic conjectures about the Dixmier's map and he made two conjectures that induction may be independent of the choice of parabolic group used and the sheets of orbit data are conjugated or disjointed[1]. In our previous paper,

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On sheets of orbit covers for classical semisimple Lie groups

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