One of his theorems in differential topology states that a subbundle of a manifold's tangent bundle is integrable if and only if its space of sections is closed under the Lie bracket. His namesake algebras are equipped with associative, nondegenerate bilinear forms. More famously, he gives his name to a field automorphism which for a field of prime characteristic p maps every element a to its pth power. He is perhaps most famous for a result which categorized all real associative finite-dimensional division algebras. FTP, name this German, whos
One of his theorems in differential topology states that a subbundle of a manifold's tangent bundle is integrable if and only if its space of sections is closed under the Lie bracket. His namesake algebras are equipped with associative, nondegenerate bilinear forms. More famously, he gives his name to a field automorphism which for a field of prime characteristic p maps every element a to its pth power. He is perhaps most famous for a result which categorized all real associative finite-dimensional division algebras. FTP, name this German, whose namesake theorem shows that the only algebras of the above type are the reals, the complex numbers, and the quaternions.
One of his theorems in differential topology states that a subbundle of a manifold's tangent bundle is integrable if and only if its space of sections is closed under the Lie bracket.
Ferdinand Georg Frobenius