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Lie algebras and separable morphisms in pro-affine algebraic groups |
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| Authors: | Nazih Nahlus |
| Institution: | Department of Mathematics, American University of Beirut, Beirut, Lebanon |
| Abstract: | Let  be an algebraically closed field of arbitrary characteristic, and let  be a surjective morphism of connected pro-affine algebraic groups over  . We show that if  is bijective and separable, then  is an isomorphism of pro-affine algebraic groups. Moreover,  is separable if and only if (its differential)  is surjective. Furthermore, if  is separable, then  . |
| Keywords: | Lie algebras of pro-affine algebraic groups separable morphisms |
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