Article ID Journal Published Year Pages File Type
1859650 Physics Letters A 2011 6 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
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