Modern problems of mathematics. Krichever-Novikov algebras, their representations and applications in geometry and mathematical physicist

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The Modern Problems of Mathematics .. Krichever-Novikov’s Algebras, Their Representations and Applications in Geometry and Mathematical Physics is a unique and profound work that will open up new horizons for the reader in the field of modern mathematics and its interdisciplinary applications. Created by a team of authors, this book is intended for those who are not afraid of complex concepts and seek to understand how modern algebraic structures affect the development of geometry and theoretical physics. The pages of this publication reveal advanced ideas related to the Krichever-Novikov algebras powerful tools that have acquired special importance in mathematics in recent years. The author's team, consisting of recognized specialists in the field of algebra, geometry and physics, offers the reader not only theoretical foundations, but also practical examples of the use of these algebras in solving actual problems. The book examines in detail the representations of algebras, their properties and how to use them in modeling physical processes, which makes it an indispensable tool for scientists, graduate students and students who delve into modern mathematics. Particular attention is paid to how Krichever-Novikov algebras are reflected in geometric models and help to understand complex phenomena in the field of mathematical physics. The book traces the relationship between abstract algebraic structures and real physical systems, making the material particularly relevant to those interested in field theory, quantum mechanics, or string theory. The author's approach is distinguished by clarity of presentation and a wealth of examples, which allows even novice readers to gradually immerse themselves in complex concepts without losing interest and motivation. The Modern Problems of Mathematics .. Krichever-Novikov’s Algebras, Their Representations and Applications in Geometry and Mathematical Physics” will be an excellent companion for those who are looking for modern solutions and ideas in the field of algebra and geometry. Its content is suitable not only for professionals, but also for senior students, graduate students, as well as teachers who want to expand their knowledge and prepare new materials for lectures. It raises important topics related to the development of algebraic methods, their role in geometric constructions and modeling of physical processes, which makes the book not only a scientific work, but also a source of inspiration for further research. The style of the authors is characterized by accuracy and logical clarity, which allows you to perceive even the most complex ideas without unnecessary difficulties. Inspired by work in algebraic geometry and mathematical physics, the authors create a rich and fascinating narrative that stimulates reflection and the search for new solutions. Their approach makes the book not only a textbook, but also a guide to modern areas of mathematics, where theory and practice are intertwined into a single whole. If you are looking for a book that will help you understand how modern algebras affect the development of geometry and physics, and want to get acquainted with advanced ideas in the field of mathematics, "Modern Problems of Mathematics . Krichever-Novikov’s Algebras, Their Representations and Applications in Geometry and Mathematical Physics” will become an indispensable source of knowledge for you. This work is a real storehouse of ideas that will open up new opportunities for research and expand your understanding of modern mathematics.
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Data sheet
- Name of the Author
- Collective of authors
- Language
- Russian