The book "Stratified Lie Groups and Potential Theory for Their Sub-Laplacians" offers a comprehensive examination of potential theory for sub-Laplacians on stratified Lie groups. It highlights the existence of homogeneous fundamental solutions, which are crucial for the development of a complete potential theory. This theory is closely related to classical Laplace operator theory, providing valuable insights into the mathematical structures underlying these operators. The presentation is largely self-contained, allowing readers to grasp the concepts without extensive prior knowledge in algebra or differential geometry. The book is aimed at doctoral candidates as well as junior and senior researchers in various fields, including partial differential equations, geometric control theory, and geometric measure theory. With its 802 pages, it provides a detailed and well-founded basis for the study of these complex topics.