Mathematical Aspects of Quantum Field Theories (Mathematical Physics Studies)

Book Details

• Publisher: Springer

• Author: Damien Calaque

• Language: English

• Edition: Softcover Reprint of the Original 1st Edition (2015)

• ISBN: 9783319344126

• Pages: 556

• Cover: Paperback

• Release Date: 24-09-2016

• Format: Import

About The Book
Quantum Groups, R-Matrices, and Invariants by Damien Calaque is a comprehensive exploration of the theory of quantum groups, a vital area of modern mathematics with deep connections to algebra, topology, and mathematical physics. This reprint edition of the original 1st edition (2015) provides a detailed introduction to quantum groups and their applications in both mathematics and physics.

The book covers a wide range of topics, including:

• Quantum Groups: Detailed discussion on the algebraic structures that generalize classical groups, with a focus on their role in quantum mechanics and quantum field theory.

• R-Matrices: Examination of the R-matrix, an essential object in the study of quantum integrable systems and the theory of quantum groups.

• Invariants: Exploration of invariants in quantum groups, which play a significant role in the study of symmetries in quantum systems.

• Mathematical Applications: Insight into how quantum groups and R-matrices are used in various areas of mathematics, including representation theory and knot theory.

• Physical Applications: Discussion on how quantum groups and related concepts apply to areas of theoretical physics, such as quantum field theory and statistical mechanics.

This book is designed for advanced graduate students, researchers, and mathematicians with a background in algebra and mathematical physics. Calaque’s clear and rigorous treatment of complex topics, supported by numerous examples, exercises, and references, makes this a valuable resource for anyone looking to deepen their understanding of quantum groups and their applications in modern mathematics and physics.