Applications of Lie groups to differential equations Peter J. Olver
Publisher: Springer-Verlag

1899 (Marius) Sophus Lie (17 Dec 1842; 18 Feb 1899) was a Norwegian mathematician who made significant contributions to the theories of algebraic invariants, continuous groups of transformations and differential equations. Analysis/Harmonic Analysis on Semisimple Lie Groups - V. Lie groups and Lie algebras are named after him. Algebra/Computational Commutative Algebra - Kreuzer and Robbiano.pdf. Applebaum, Sheffield: Spectral properties of semigroups of measures on Lie groups. Shlomo Sternberg, Group theory and physics, Cambridge University Press 1994. Dynamical systems and applications to physics; exponential asymptotics. Algebra/Computer Algebra and Differential Equations - E. Press 1995; Applications of Lie groups to differential equations, Springer. Analysis/Harmonic Analysis And Partial Differential Equations - B. Algebra/Differential Galois Theory - M. Peter Olver, Equivalence, invariants, and symmetry, Cambridge Univ. Previously, only discharge of static electricity had been available, so his device opened a new door to new uses of electricity. Chafai, Toulouse: Spectral analysis of large random Markov chains D. Krasovsky, Brunel and Imperial college: Toeplitz determinants and their applications. Dr Colm Connaughton Non-equilibrium statistical mechanics, fluid Numerical and applied analysis of partial differential equations; free boundary problems; computational applied mathematics. Professor Keith Ball Functional Analysis, High-dimensional and Discrete Group theory, groups of Lie type, finite simple groups. Shortly thereafter, William Nicholson decomposed water by . Pistorius, Imperial College: Maximum increments of random walks and M. Algebra/Determinants and Their Applications in Mathematical Physics - R. Roeckner, Bielefeld: Self-organized criticality via stochastic partial differential equations.