Journal of Lie Theory 26 (2016), No. 2, 359--369
Copyright Heldermann Verlag 2016
Chevalley's Theorem for Affine Nash Groups
Yingjue Fang
College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, P. R. of China
joyfang@szu.edu.cn
Binyong Sun
Faculty of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. of China
sun@math.ac.cn
We formulate and prove Chevalley's theorem in the setting of affine Nash groups. As a consequence, we show that the semi-direct product of two almost linear Nash groups is also an almost linear Nash group.
Keywords: Nash manifold, Nash group, algebraic group, Chevalley's theorem.
MSC: 22E15, 14L10, 14P20
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