These notes are intended to give a self-contained exposition of Z2-graded quantum stochastic calculus and the resulting representations of Lie superalgebras. No pre-knowledge of quantum stochastic calculus is assumed; Chapter 2 presents the Hudson-Parthasarathy formulation of the theory in a straightforward manner.
I should like to thank Professor Robin Hudson for his collaboration during the years 1994-1997 which I spent at The University of Nottingham where this research was carried out. I should also like to thank EPSRC for funding this research.
Special thanks must go to the Indian Statistical Institute New Delhi Centre, India (especially K. R. Parthasarathy), the Wydzial Matematyki, University of Lodz, Poland (especially Stanislaw Goldstein) and the Institute Fourier, Grenoble, France (especially Stephane Attal) for their kind hospitality. These academic visits were all of great value to the research.