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STABILITY OF CERTAIN RINGS OF HIGHEST WEIGHT VECTORS |
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Citation: |
DENG Shaoqiang,HOU Zixin.STABILITY OF CERTAIN RINGS OF HIGHEST WEIGHT VECTORS[J].Chinese Annals of Mathematics B,2001,22(1):57~62 |
Page view: 0
Net amount: 997 |
Authors: |
DENG Shaoqiang; HOU Zixin |
Foundation: |
Project supported by the National Natural Science Foundation of China (No.19901015 and No.19731004). |
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Abstract: |
The authors prove the stability of the rings of highest weight vectors of the action of $O_m \times GL_n$ on the complex polynomial rings on $C^{m, n}$. As an application, the structure of the rings for m = 3 is determined. |
Keywords: |
Rational representations, Maximal unipotent subgroups, Rings of highest weight vectors |
Classification: |
22E46, 22E47 |
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