Rational Homogeneous Algebras

MacDougall, James A. and Sweet, L. G. (2010) Rational Homogeneous Algebras. Canadian Mathematical Bulletin .

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    An algebra $A$ is {\emp 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 $A^2 = 0$.

    Item Type: Article
    Subjects: 00-xx General > 00Axx General and miscellaneous specific topics
    Faculty: UNSPECIFIED
    Depositing User: Stephanie
    Date Deposited: 28 Sep 2012 12:05
    Last Modified: 28 Sep 2012 12:05

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