A Bridge Between Lie Symmetries and Galois Groups

Document type: Conference Papers
Peer reviewed: Yes
Author(s): Nail H. Ibragimov
Title: A Bridge Between Lie Symmetries and Galois Groups
Journal: Abel Symposia
Conference name: 5th Abel Symposium
Year: 2009
Pagination: 159-172
ISBN: 978-3-642-00872-6
Publisher: Springer
City: Tromsö
URI/DOI: 10.1007/978-3-642-00873-3_7
ISI number: 000276298400007
Organization: Blekinge Institute of Technology
Department: School of Engineering - Dept. of Mathematics & Natural Sciences (Sektionen för ingenjörsvetenskap - Avd.för matematik och naturvetenskap)
School of Engineering S-371 79 Karlskrona
+46 455 38 50 00
Language: English
Abstract: 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.
Subject: Mathematics\Analysis
Note: Book Series: Abel Symposia Volume: 5 Pages: 159-172 Published: 2009