Structures, representations, and applications of algebraic systems
Holomorphic Lie algebroids, stacks of twisted modules and applications to the Hitc...
Non-associative algebraic structures and integrable evolution systems
| Full text | |
| Author(s): |
Tacchella, Alberto
Total Authors: 1
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| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 118, n. SI, p. 202-233, AUG 2017. |
| Web of Science Citations: | 0 |
| 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. (C) 2016 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 11/09782-6 - Gibbons-Hermsen varieties and noncommutative geometry |
| Grantee: | Alberto Tacchella |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |