STABILITY OF CERTAIN RINGS OF HIGHEST WEIGHT VECTORS

Citation:

DENG Shaoqiang,HOU Zixin.STABILITY OF CERTAIN RINGS OF HIGHEST WEIGHT VECTORS[J].Chinese Annals of Mathematics B,2001,22(1):57~62
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Authors:

DENG Shaoqiang; HOU Zixin

Foundation:

Project supported by the National Natural Science Foundation of China (No.19901015 and No.19731004).
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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