Structurable Tori
نویسنده
چکیده
The classification of structurable tori with nontrivial involution, which was begun by Allison and Yoshii, is completed. New examples of struct-urable tori are obtained using a construction of structurable algebras from a semilinear version of cubic forms satisfying the adjoint identity. The classification uses techniques borrowed from quadratic forms over Z 2 and from the geometry of generalized quadrangles. Since structurable tori are the coordinate algebras for the centreless cores of extended affine Lie algebras of type BC 1 , the results of this paper provide a classification and new examples for this class of Lie algebras.
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