Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1859650 | Physics Letters A | 2011 | 6 Pages |
Abstract
We study recently introduced Desargues maps, which provide simple geometric interpretation of the non-commutative Hirota-Miwa system. We characterize them as maps of the A-type root lattice into a projective space such that images of vertices of any basic regular N-simplex are collinear. Such a characterization is manifestly invariant with respect to the corresponding affine Weyl group action, which leads to related symmetries of the Hirota-Miwa system.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Adam Doliwa,