Applications of Lie groups to differential equations by Peter J. Olver

Applications of Lie groups to differential equations



Download Applications of Lie groups to differential equations




Applications of Lie groups to differential equations Peter J. Olver ebook
Publisher: Springer-Verlag
Format: djvu
ISBN: 0387962506, 9780387962504
Page: 640


They provide a natural framework for analysing the continuous symmetries of differential equations (Differential Galois theory), in much the same way as permutation groups are used in Galois theory for analysing the discrete symmetries of algebraic equations. The preferred research area lies in nonlinear partial differential equations related to geometry and mathematical physics. The successful applicant is expected to participate in the supervision of PhD students and will have The University of Potsdam and the Max Planck Society are committed to support the appointment of severely handicapped people, applications are explicitly encouraged. However this is inadequate for many applications, because many natural examples of infinite dimensional Lie groups are not Banach manifolds. A sound mathematical basis is thereby provided for the study of special unitary groups and their applications to Particle Physics. Algebra / Ritt – Differential Algebra.pdf 14.9 MB Algebra / Ritt J.F. The "The Seventh IMT-GT International Conference on Mathematics, Statistics and its Applications (ICMSA 2011)" will take place in Bangkok, Thailand on 21 Jul 2011. Olver 108 Holomorphic Functions and Integral Representations in Several Complex Variables, R. An extension of Galois theory to .. 107 Applications of Lie Groups to Differential Equations, Peter J. Differential and Difference Equation / DIFFERENCE EQUATIONS AND INEQUALITIES-Theory, Methods, and Applications-P. Seniors and advanced Juniors who are majoring in the Physical Sciences or Mathematics. It introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. The book places the subject matter in its historical context with discussions of Galois groups, algebraic invariants, Lie groups and differential equations, presented at a level that is not the standard fare for students majoring in the Physical Sciences. Differential algebra (AMS, 1950)(T)(189s).djvu 1.9 MB Algebra / Serre.-.Finite.Subgroups.of.Lie.Groups.(1998).pdf 253.7 KB Algebra / Serre.-.The.Notion.of.Complete.Reducibility. Applications of Lie Groups to Differential Equations.