An introduction to associative geometry with applications to integrable systems

Autor(es)

Tacchella, Alberto

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 118, p. 32-pg., 2017-08-01.

Resumo

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)

• Processo FAPESP: 11/09782-6 - Variedades de Gibbons-Hermsen e geometria não comutativa
• Beneficiário: Alberto Tacchella
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado