Representations of the Infinite Symmetric Group - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations of the Infinite Symmetric Group write by Alexei Borodin. This book was released on 2017. Representations of the Infinite Symmetric Group available in PDF, EPUB and Kindle. An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize
Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize write by Sergei Vasilʹevich Kerov. This book was released on . Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize available in PDF, EPUB and Kindle. This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. Here, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on an important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the limiting object, i.e., the infinite symmetric group. The author contributed significantly in the development of both directions. His book presents an account of these contributions, as well as those of other researchers. Among the problems of the first type, the author discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram. He also studies stochastic properties of the deviations of random diagrams from the limiting curve. Among the problems of the second type, Kerov studies an important problem of computing irreducible characters of the infinite symmetric group. This leads to the study of a continuous analog of the notion of Young diagram, and in particular, to a continuous analogue of the hook walk algorithm, which is well known in the combinatorics of finite Young diagrams. In turn, this construction provides a completely new description of the relation between the classical moment problems of Hausdorff and Markov. The book is suitable for graduate students and research mathematicians interested in representation theory and combinatorics.
Permutation Groups
Permutation Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Permutation Groups write by John D. Dixon. This book was released on 2012-12-06. Permutation Groups available in PDF, EPUB and Kindle. Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.
A Course in Finite Group Representation Theory
A Course in Finite Group Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Course in Finite Group Representation Theory write by Peter Webb. This book was released on 2016-08-19. A Course in Finite Group Representation Theory available in PDF, EPUB and Kindle. This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
Representation Theory of Finite Groups
Representation Theory of Finite Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representation Theory of Finite Groups write by Benjamin Steinberg. This book was released on 2011-10-23. Representation Theory of Finite Groups available in PDF, EPUB and Kindle. This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.
