The book "Linear algebra and representation theory (collection of works)", written under the editorship of L. A. Nazarova and A. In. Reuter, is a unique collection of scientific articles devoted to important aspects of linear algebra and representation theory. This edition will be of particular interest to both undergraduate and graduate students, as well as anyone who is passionate about mathematics and its applications in various fields of science. This collection presents works that cover a wide range of topics related to linear algebra and its application in representation theory. The reader will be able to immerse himself in the world of algebraic structures, studying how they interact and how they can be used to solve complex problems. The book offers not only theoretical foundations, but also practical examples, which makes it especially valuable for those who seek to apply the acquired knowledge in real life. One of the key topics raised in the collection is the relationship between linear algebra and other areas of mathematics, such as topology and group theory. The authors explore how linear transformations and matrices can be used to describe symmetries and structures in various mathematical systems. This makes the book particularly relevant to those interested in mathematical physics, information theory, and computer science.[citation needed] The book will be of interest not only to specialists in the field of mathematics, but also to a wide range of readers, including students, teachers and researchers. It is suitable for those who want to deepen their knowledge in linear algebra, as well as for those who are looking for new approaches to the study of representation theory. Readers interested in mathematics will find in this collection many interesting ideas and inspirations for further research. The style of the authors is clear and accessible, which allows even complex concepts to be explained in simple and understandable language. L. A. Nazarov and A. In. Reuter is known for his work in algebra and representation theory, and their experience and in-depth knowledge in these areas make the collection particularly valuable. In their previous works, they have already established themselves as authors capable of conveying complex ideas to a wide audience, and in this collection they continue this tradition. The collection “Linear Algebra and Representation Theory” will be an excellent addition to the library of any mathematician or student studying higher mathematics. It not only deepens the understanding of linear algebra, but also opens new horizons in the study of representation theory, which makes it an indispensable resource for anyone who wants to expand their knowledge in this area. If you are looking for books on linear algebra, representation theory or just want to learn more about mathematics, this collection will be a real find for you. It will not only enrich your knowledge, but also inspire new research and discoveries. Do not miss the opportunity to immerse yourself in the fascinating world of algebra and representation theory along with the works of L. A. Nazarova, A. In. Reuter and other authors who have made significant contributions to this field of science.