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A Bridge Between Lie Symmetries and Galois Groups
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2009 (English)Conference paper (Refereed) Published
Abstract [en]

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.
National Category
Mathematical Analysis
URN: urn:nbn:se:bth-7788DOI: 10.1007/978-3-642-00873-3_7ISI: 000276298400007Local ID: 978-3-642-00872-6OAI: diva2:835450
5th Abel Symposium
Book Series: Abel Symposia Volume: 5 Pages: 159-172 Published: 2009Available from: 2012-09-18 Created: 2010-07-05 Last updated: 2015-06-30Bibliographically approved

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