Groups, Representations and Physics Van H.F. Jones is an English-language textbook that focuses on the theory of groups and their representations. It is intended for students in higher education who want to understand the interaction between mathematics and physics.
This book explores the fascinating interplay between physics and mathematical concepts, with special attention to group representations. The second, fully revised edition includes a new chapter on the Cartan-Dynkin method for Lie algebras. This approach generalizes the operator method for rotation groups and enables a systematic classification and construction of irreducible representations.
Jones uses an abstract-axiomatic approach, in which the formal theory is explained first, followed by applications in physics. The text includes various concrete examples that clarify the formal definitions and proofs.
This study book aligns with subject areas such as Physics and Mathematics and is suitable for programs that focus on the theoretical foundation and applications of representations and physics.