3 papers
math.DG2004
An infinite-dimensional manifold structure for analytic Lie pseudogroups of infinite type
Niky Kamran, Thierry Robart
We construct a infinite-dimensional manifold structure adapted to analytic Lie pseudogroups of infinite type. More precisely, we prove that any isotropy subgroup of an analytic Lie…
solv-int1999
Invariant Modules and the Reduction of Nonlinear Partial Differential Equations to Dynamical Systems
Niky Kamran, Robert Milson, Peter Olver
We completely characterize all nonlinear partial differential equations leaving a given finite-dimensional vector space of analytic functions invariant. Existence of an invariant s…
hep-th1996
Lie Algebras of Differential Operators and Partial Integrability
Federico Finkel, Artemio Gonzalez-Lopez, Niky Kamran +2
This paper surveys recent work on Lie algebras of differential operators and their application to the construction of quasi-exactly solvable Schroedinger operators.