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 http://www.bth.se/ing/ |
| 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 |
