Publication: Hyperdeterminants as integrable discrete systems
All || By Area || By Year| Title | Hyperdeterminants as integrable discrete systems | Authors/Editors* | SP Tsarev, T Wolf |
|---|---|
| Where published* | J. Phys. A: Math. Theor., arXiv:0903.3864 (nlin.SI) |
| How published* | Other |
| Year* | 2009 |
| Volume | 42 |
| Number | doi: 10.1088/1751-8113/42/45/454023 |
| Pages | 9 |
| Publisher | IOP |
| Keywords | hyperdeterminants, discrete differential geometry, computer algebra |
| Link | http://lie.math.brocku.ca/twolf/papers/Tsarev-Wolf-hyperdets-JPhysA2009.pdf |
| Abstract |
We give the basic definitions and some theoretical results about hyperdeterminants, introduced by A. Cayley in 1845. We prove integrability (understood as 4d-consistency) of a nonlinear difference equation defined by the 2x2x2-hyperdeterminant. This result implies the following hypothesis: the difference equations defined by hyperdeterminants of any size are integrable. We show that this hypothesis already fails in the case of the 2x2x2x2-hyperdeterminant. |
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