An introduction to associative geometry with applications to integrable systems
| Autor: | Alberto Tacchella |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
70H06 (Primary)
14A22 16G20 (Secondary) Dynamical systems theory Integrable system 010102 general mathematics General Physics and Astronomy FOS: Physical sciences Geometry Differential calculus Mathematical Physics (math-ph) 01 natural sciences Formalism (philosophy of mathematics) 0103 physical sciences 010307 mathematical physics Geometry and Topology 0101 mathematics Mathematical Physics Associative property Mathematics |
| DOI: | 10.48550/arxiv.1611.00644 |
| Popis: | 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. Comment: Review article, 45 pages. To appear in Journal of Geometry and Physics |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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