Carmeli, Claudio,
Mathematical Foundations of Supersymmetry [electronic resource] / Claudio Carmeli, Lauren Caston, Rita Fioresi - Zuerich, Switzerland : European Mathematical Society Publishing House, 2011 - 1 online resource (300 pages) - EMS Series of Lectures in Mathematics (ELM) .
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
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, with a special attention to giving detailed proofs and many clarifying examples. It is aimed ideally at a second year graduate student. After the first three introductory chapters, the text divides 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 introducing Lie superalgebras and representations of classical Lie superalgebras, the second collecting some relevant facts on categories, sheafification of functors and commutative algebra, and the third explaining the notion of Fréchet space in the super context.
9783037195970
10.4171/097 doi
Calculus & mathematical analysis
Global analysis, analysis on manifolds
Algebraic geometry
Nonassociative rings and algebras
Several complex variables and analytic spaces
Mathematical Foundations of Supersymmetry [electronic resource] / Claudio Carmeli, Lauren Caston, Rita Fioresi - Zuerich, Switzerland : European Mathematical Society Publishing House, 2011 - 1 online resource (300 pages) - EMS Series of Lectures in Mathematics (ELM) .
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
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, with a special attention to giving detailed proofs and many clarifying examples. It is aimed ideally at a second year graduate student. After the first three introductory chapters, the text divides 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 introducing Lie superalgebras and representations of classical Lie superalgebras, the second collecting some relevant facts on categories, sheafification of functors and commutative algebra, and the third explaining the notion of Fréchet space in the super context.
9783037195970
10.4171/097 doi
Calculus & mathematical analysis
Global analysis, analysis on manifolds
Algebraic geometry
Nonassociative rings and algebras
Several complex variables and analytic spaces