XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Claude ROGER

An algebraic background for hierarchies of PDE in dimension (2|1)

In d=2 with variables (x,t),the superalgebraic trick of adding a supplementary odd variable, allows the construction of a "square root of time", an operator D
satisfying D^2=∂/∂t in dimension (2|1). We used it to obtain a Miura transform in dimension (2|1)for a non stationary Schrödinger type operators.I will discuss here the construction of an algebra of pseudodifferential symbols in dimension (2|1).

Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok

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