Books by Pietro Giuseppe Fré

Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.

This book presents the author's personal historical perspective and conceptual analysis on symmetry and geometry.

This book presents the author's personal historical perspective and conceptual analysis on symmetry and geometry.

This book presents general relativity as a cornerstone of modern theoretical physics. It covers both classical general relativity and supergravity and offers plenty of historical background on the physicists relevant to the theories presented.