
Journal of Lie Theory 26 (2016), No. 2, 359369 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 semidirect 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 [ Fulltextpdf (245 KB)] for subscribers only. 