"Infinite Lie Algebras" is a fascinating and in-depth study, written under the editorship of Victor Katz, B. L. Popova and A. and . Moleva . This book immerses the reader in the world of abstract algebra, opening up to him the exciting horizons of infinite-dimensional Lie algebras, which play a key role in modern mathematical research and applications. In the pages of the book, the authors seek to explain complex concepts using accessible language and examples, which makes the material understandable to both students and professionals in mathematics and physics. If you are interested in mathematics, theoretical physics or just want to expand your knowledge in the field of algebra, this work will become a real treasure for you. The book covers a wide range of topics, including the basics of infinite-dimensional Lie algebras, their structure and properties, and applications in various fields of science. The authors examine in detail the methods used to study these algebras and demonstrate how they can be applied in representation theory, quantum mechanics, and other disciplines. The reader will be able to see how abstract mathematical constructions are reflected in the real world, which makes the material especially fascinating and relevant. This work will be of interest not only to mathematicians, but also to physicists, engineers and everyone who is passionate about the theoretical aspects of science. Senior students, graduate students and teachers will find in it useful ideas and inspiration for their research. The book will also be useful for those who want to deepen their knowledge of algebra and representation theory, because it offers a unique view of the subject, which often remains in the shadow of more traditional topics. The style of the authors is distinguished by clarity and logical presentation, which allows the reader to easily follow the course of thought and assimilate complex concepts. Victor Katz, known for his work in the field of algebra and representation theory, as well as his co-authors, each of whom has extensive experience in mathematical research, make this book not only a scientific work, but also a real textbook. Their previous works, such as Algebraic Structures and Their Applications and Representation Theory and Its Applications, are also noteworthy and can serve as an excellent addition to the study of topics raised in Lee's Infinite-Dimensional Algebras. The book “Infinite Lie Algebras” is not just a textbook, but a real find for those who want to understand how abstract mathematical ideas can be used to solve real problems. It raises important topics such as the relationship between algebra and geometry, as well as the role of infinite-dimensional structures in modern scientific research. If you are looking for literature that will help you delve deeper into the world of algebra and open new horizons in understanding mathematical concepts, this book will be an excellent choice. Do not miss the opportunity to get acquainted with the work that can change your idea of mathematics and its capabilities. "Infinite Lie algebras" is not just a book, it is the key to new knowledge and discoveries in the world of science.