本文利用群胚的有关知识证明了李群在基本群胚上的提升作用有余伴随等变的动量映射这一结论，进而刻划了辛群胚的几何性质。
In this paper, in accordance with the knowledge of Groupoid, we proved that the nature life of Lie Group on a Fundamental Groupoid has a coadjoint equivariant momentum mapping.
研究了全矩阵环上保持伴随矩阵的线性映射的形式。
The forms of linear maps preserving adjoint matrix between two full matrix rings have been given.
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