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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

Binyong Sun
Faculty of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. of China

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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