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arXiv · 1611.00644

An introduction to associative geometry with applications to integrable systems

Alberto Tacchella
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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.

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Alberto Tacchella. 2016-11-02. An introduction to associative geometry with applications to integrable systems. https://doi.org/10.1016/j.geomphys.2016.09.013

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