Groups and Manifolds —— Lectures for Physicists with Examples in Mathematica

----- 团体和流形：在数学软件中用物理学家讲座

ISBN: 9783110551198 出版年：2018 页码：498 Fre, Pietro Giuseppe Fedotov, Alexander De Gruyter

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.