The book of Kartis and Rainer fills a significant gap that until recently was in the world algebraic literature. Despite the fact that many important and subtle theorems have been obtained in the representation theory of finite groups and algebras since the seminal works of Frobenius, Schur and Burnside, all monographs affecting this theory were mainly limited to its classical aspect. With the publication of the book by Cartis and Rainer, readers got the opportunity to get acquainted with the systematic presentation of modern representation theory.