The aim of these notes is to provide a reasonably short and “hands-on” introduction to the differential calculus on associative algebras over a field of characteristic zero. Following a suggestion of Ginzburg's we call the resulting theory associative geometry. We argue that this formalism sheds a new light on some classic solution methods in the theory of finite-dimensional integrable dynamical systems.
An introduction to associative geometry with applications to integrable systems / Tacchella, A.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 118:(2017), pp. 202-233. [10.1016/j.geomphys.2016.09.013]
An introduction to associative geometry with applications to integrable systems
Tacchella A.
2017-01-01
Abstract
The aim of these notes is to provide a reasonably short and “hands-on” introduction to the differential calculus on associative algebras over a field of characteristic zero. Following a suggestion of Ginzburg's we call the resulting theory associative geometry. We argue that this formalism sheds a new light on some classic solution methods in the theory of finite-dimensional integrable dynamical systems.File in questo prodotto:
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