Geodesic
Chevalley's Theorem for Affine Nash Groups
Yingjue Fang1 ; Binyong Sun2
1College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, P. R. of China
2Faculty of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. of China
Journal of Lie Theory, Tome 26 (2016) no. 2, pp. 359-369

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22E15, 14L10, 14P20
Mots-clés : Nash manifold, Nash group, algebraic group, Chevalley's theorem

Yingjue Fang  1   ; Binyong Sun  2

1 College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, P. R. of China
2 Faculty of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. of China 
Yingjue Fang; Binyong Sun. Chevalley's Theorem for Affine Nash Groups. Journal of Lie Theory, Tome 26 (2016) no. 2, pp. 359-369. http://geodesic.mathdoc.fr/item/JOLT_2016_26_2_a1/
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     author = {Yingjue Fang and Binyong Sun},
     title = {Chevalley's {Theorem} for {Affine} {Nash} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {359--369},
     year = {2016},
     volume = {26},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_2_a1/}
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