Volume 18, Issue 3, September 2011, Pages 461 - 474
Quaternionic Integrability
Authors
Giuseppe Gaeta
Dipartimento di Matematica, Università degli Studi di Milano, v. Saldini 50, I-20133 Milano, Italy,giuseppe.gaeta@unimi.it
Received 7 April 2011, Accepted 18 May 2011, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925111001714How to use a DOI?
- Keywords
- Integrable systems; quaternionic structures; hyperkahler structures; Clifford algebras; Pauli equation
- Abstract
Standard (Arnold–Liouville) integrable systems are intimately related to complex rotations. One can define a generalization of these, sharing many of their properties, where complex rotations are replaced by quaternionic ones, and more generally by the action of a Clifford group. Such a generalization is not limited to integrable systems but — in the quaternionic case — goes over to a generalization of standard Hamilton dynamics.
- Copyright
- © 2011 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Giuseppe Gaeta PY - 2021 DA - 2021/01/07 TI - Quaternionic Integrability JO - Journal of Nonlinear Mathematical Physics SP - 461 EP - 474 VL - 18 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001714 DO - 10.1142/S1402925111001714 ID - Gaeta2021 ER -