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quantum stochastic calculus and representations of lie superalgebras (in English)
Eyre (Author)
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quantum stochastic calculus and representations of lie superalgebras (in English) - eyre
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Synopsis "quantum stochastic calculus and representations of lie superalgebras (in English)"
this book describes the representations of lie superalgebras that are yielded by a graded version of hudson-parthasarathy quantum stochastic calculus. quantum stochastic 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 stochastic integrals is particularly interesting. the book aims to provide a self-contained exposition of what is known about z_2-graded quantum stochastic calculus and to provide a framework for future research into this new and fertile area.
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The book is written in English.
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