Rational Homogeneous Algebras
نویسنده
چکیده
An algebra A is homogeneous if the automorphism group of A acts transitively on the one dimensional subspaces of A. The existence of homogeneous algebras depends critically on the choice of the scalar field. We examine the case where the scalar field is the rationals. We prove that if A is a rational homogeneous algebra with dimA > 1 then A = 0.
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