2 Apr 2003

Cathrine V. Jensen "Decomposition of ODEs".

We shall see how a linear ODE, of arbitrary order, that possesses an sl(2) - algebra of symmetries, can be decomposed into symmetric powers of second order equations. Finding a complete set of solutions of these symmetric power equations, and hence the original equation, in turn corresponds to recognizing and solving the basic second order equation, which is of Schrödinger type. This is done in the setting of considering ODEs as D-modules.