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Supermanifolds (Cambridge Monographs on Mathematical Physics) by Bryce S Dewitt; Bryce Seligman DeWitt, Physiker USA is a nonfiction available to read on EtoBox.

What is Supermanifolds (Cambridge Monographs on Mathematical Physics) about?

<p>This is an updated and expanded second edition of a successful and well-reviewed text presenting a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the super-analogs of all the basic structures of ordinary manifold theory. The exposition opens with the theory of analysis over supernumbers (Grassman variables), Berezin integration, supervector spaces and the superdeterminant. This basic material is then applied to the theory of supermanifolds, with an account of super-analogs of Lie derivatives, connections, metric, curvature, geodesics, Killing flows, conformal groups, etc. The book goes on to discuss the theory of super Lie groups, super Lie algebras, and invariant geometrical structures on coset spaces. Complete descriptions are given of all the simple super Lie groups. The book then turns to applications. Chapter 5 contains an account of the Peierals bracket for superclassical dynamical systems, super Hilbert spaces, path integration for fermionic quantum systems, and simple models of Bose–Fermi supersymmetry. The sixth and final chapter, which is new in this revised edition, examines dynamical systems for which the topology of the c

Who reads Supermanifolds (Cambridge Monographs on Mathematical Physics)?

Author

Bryce S Dewitt; Bryce Seligman DeWitt, Physiker USA

Publisher

Cambridge University Press (Virtual Publishing)

Published

1992

Language

EN

ISBN

9780521413206

Category

nonfiction

Subjects

Science, Mathematics, Physics