Quantum Stochastic Calculus and Representations of Lie Superalgebras

This book describes the representations of Lie superalgebras that are yielded by a graded version of Hudson—Parthasarathy quantum shastic calculus. Quantum shastic calculus and grading theory are given concise introductions, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite—dimensional Hilbert spaces. The develpment of an explicit formula for the chaotic expansion of a polynomial of quantum shastic integrals is particularly interesting. The...