A Bridge Between Lie Symmetries and Galois Groups
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences2009 (English)Conference paper (Refereed) Published
A bridge between Lie symmetry groups for differential equations and Galois groups for algebraic equations is suggested. It is based on calculation of Lie symmetries for algebraic equations and their restriction of the roots of the equations under consideration. The approach is illustrated by several examples. An alternative representation of Lie symmetries, called the Galois representation, is provided for differential equations.
Place, publisher, year, edition, pages
Tromsö: Springer , 2009.
IdentifiersURN: urn:nbn:se:bth-7788DOI: 10.1007/978-3-642-00873-3_7ISI: 000276298400007Local ID: oai:bth.se:forskinfoD5129B29F2310965C125775700330A88ISBN: 978-3-642-00872-6OAI: oai:DiVA.org:bth-7788DiVA: diva2:835450
5th Abel Symposium
Book Series: Abel Symposia Volume: 5 Pages: 159-172 Published: 20092012-09-182010-07-052015-06-30Bibliographically approved