Structurable Tori
| dc.creator | Allison, Bruce | |
| dc.creator | Faulkner, John | |
| dc.creator | Yoshii, Yoji | |
| dc.date | 2007-02-22 | |
| dc.date.accessioned | 2026-07-07T10:00:47Z | |
| dc.date.available | 2026-07-07T10:00:47Z | |
| dc.description | The classification of structurable tori with nontrivial involution, which was begun by Allison and Yoshii, is completed. New examples of structurable 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. | |
| dc.identifier | https://arxiv.org/abs/math/0702678 | |
| dc.identifier | http://arxiv.org/abs/math/0702678 | |
| dc.identifier | Comm. Algebra 36(6):2265-2332, 2008. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168425 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17A30, 17B60, 17A75, 17C40, 17B67 | |
| dc.title | Structurable Tori | |
| dc.type | text |