# Mathematical Foundations of Supersymmetry

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*Claudio Carmeli; Lauren Caston; Rita Fioresi*

A publication of the European Mathematical Society

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 Fréchet space in the super context.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

#### Readership

Graduate students and research mathematicians interested in analysis.