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Mathematical Foundations of Supersymmetry
Claudio CarmeliLauren CastonRita Fioresi
出版European Mathematical Society, 2011
主題Mathematics / Algebra / AbstractMathematics / Geometry / DifferentialScience / Physics / General
ISBN30371909739783037190975
URLhttp://books.google.com.hk/books?id=g3gHLmJBRmgC&hl=&source=gbs_api
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註釋Supersymmetry is a highly active area of considerable interest among physicists and mathematicians. It is not only fascinating in its own right, but there is also indication that it plays a fundamental role in the physics of elementary particles and gravitation. The purpose of the book is to lay down the foundations of the subject, providing the reader with a comprehensive introduction to the language and techniques, as well as detailed proofs and many clarifying examples. This book is aimed ideally at second-year graduate students. After the first three introductory chapters, the text is divided into two parts: the theory of smooth supermanifolds and Lie supergroups, including the Frobenius theorem, and the theory of algebraic superschemes and supergroups. There are three appendices. The first introduces Lie superalgebras and representations of classical Lie superalgebras, the second collects some relevant facts on categories, sheafification of functors and commutative algebra, and the third explains the notion of Frechet space in the super context.