Dictionary on Lie Algebras and Superalgebras

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9780122653407: Dictionary on Lie Algebras and Superalgebras

This book is a detailed reference on Lie algebras and Lie superalgebras presented in the form of a dictionary. It is intended to be useful to mathematical and theoretical physicists, from the level of the graduate student upwards. The Dictionary will serve as the reference of choice for practitioners and students alike.

Key Features:
* Compiles and presents material currently scattered throughout numerous textbooks and specialist journal articles
* Dictionary format provides an easy to use reference on the essential topics concerning Lie algebras and Lie superalgebras
* Covers the structure of Lie algebras and Lie superalgebras and their finite dimensional representation theory
* Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras

"synopsis" may belong to another edition of this title.

From the Back Cover:

Dictionary on Lie Algebras and Superalgebras presents a detailed description of the structure of Lie algebras and Lie superalgebras and an extensive study of their finite dimensional representation theory. Priority has been given to clarity. The Dictionary extensively covers finite dimensional algebras and superalgebras, which moreover are indispensable to the study of more elaborate structures, such as infinite dimensional algebras or quantum groups. The Dictionary will serve as the reference of choice for practitioners and students alike.
Key Features:

* Compiles and presents material currently scattered throughout numerous textbooks and specialist journal articles
* Dictionary format provides an easy to use reference on the essential topics concerning Lie algebras and Lie superalgebras
* Covers the structure of Lie algebras and Lie superalgebras and their finite dimensional representation theory
* Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras

The Dictionary is aimed at theoretical physicists who use continuous symmetries, particularly elementary particle physicists, from the phenomenologist to the mathematical physicist. The beginner will be able to discover the main concepts of algebras and superalgebras. Experienced theorists will find the necessary tools and information for specific applications. It is also appropriate supplementary reading for postgraduate courses: including Symmetries in Physics, Advanced Quantum Mechanics, Elementary Particle Physics, Nuclear Physics, Field Theory, Statistical Mechanics and Quantum Optics.

About the Author:

Luc Frappat is an Assistant Professor at the University of Savoie, France, and carries research activities in the Laboratory of Theoretical Physics in Annecy-le-Vieux (LAPTH). His area of research is in mathematical physics, and concerns superalgebras, W algebras and quantum groups, as well as applications in biophysics.

Antonino Sciarrino is a Professor of theoretical physics at the University of Napoli "Federico II," Italy. He has carried research activities in algebraic approaches to quantum physics, particularly in high-energy scattering and grand unification models. His present scientific interests are in field theory and biophysics.

Paul Sorba is the Director of Research at the CNRS, France, and head of the LAPTH. His research interests are in elementary particle physics and mathematical physics. He has delivered numerous courses and lectures on symmetries and their applications for graduate students in France and other European countries.

"About this title" may belong to another edition of this title.

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