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VOLUME 77 (2003) | ISSUE 2 | PAGE 59
Commutativity equations and dressing transformations
PACS: 11.25.Hf
Abstract
We study dressing transformations that generate all solutions to Commutativity equations, and, after picking up special coordinates, all solutions to WDVV equations. We conjecture that the homological tensor product of solutions to Commutativity equations corresponds to the tensor product of matrixes of dressing transformation and check it in the first nontrivial case.