Representation Theory Of Symmetric Groups PDF Download
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Author | : Bruce E. Sagan |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 1475768044 |
Download The Symmetric Group Book in PDF, ePub and Kindle
This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH
Author | : Pierre-Loic Meliot |
Publisher | : CRC Press |
Total Pages | : 666 |
Release | : 2017-05-12 |
Genre | : Mathematics |
ISBN | : 1498719139 |
Download Representation Theory of Symmetric Groups Book in PDF, ePub and Kindle
Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way of introducing today’s students to representation theory of the symmetric groups, namely classical theory. From there, the book explains how the theory can be extended to other related combinatorial algebras like the Iwahori-Hecke algebra. In a clear and concise manner, the author presents the case that most calculations on symmetric group can be performed by utilizing appropriate algebras of functions. Thus, the book explains how some Hopf algebras (symmetric functions and generalizations) can be used to encode most of the combinatorial properties of the representations of symmetric groups. Overall, the book is an innovative introduction to representation theory of symmetric groups for graduate students and researchers seeking new ways of thought.
Author | : Gordon Douglas James |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 1984-12-28 |
Genre | : Mathematics |
ISBN | : 0521302366 |
Download The Representation Theory of the Symmetric Group Book in PDF, ePub and Kindle
The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; and new uses are still being found.
Author | : Sergei Vasilʹevich Kerov |
Publisher | : American Mathematical Soc. |
Total Pages | : 224 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821889633 |
Download Asimptoti?eskaja teorija predstavlenija simmetri?eskoj gruppyi ee primenenija v analize Book 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.
Author | : Alexander Kleshchev |
Publisher | : Cambridge University Press |
Total Pages | : 293 |
Release | : 2005-06-30 |
Genre | : Mathematics |
ISBN | : 1139444069 |
Download Linear and Projective Representations of Symmetric Groups Book in PDF, ePub and Kindle
The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own
Author | : Alexei Borodin |
Publisher | : Cambridge University Press |
Total Pages | : 169 |
Release | : 2017 |
Genre | : Mathematics |
ISBN | : 1107175550 |
Download Representations of the Infinite Symmetric Group Book in PDF, ePub and Kindle
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
Author | : Gilbert de Beauregard Robinson |
Publisher | : Edinburgh : University Press |
Total Pages | : 218 |
Release | : 1961 |
Genre | : Group theory |
ISBN | : |
Download Representation Theory of the Symmetric Group Book in PDF, ePub and Kindle
Author | : Benjamin Steinberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 166 |
Release | : 2011-10-23 |
Genre | : Mathematics |
ISBN | : 1461407761 |
Download Representation Theory of Finite Groups Book 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.
Author | : Amritanshu Prasad |
Publisher | : Cambridge University Press |
Total Pages | : 205 |
Release | : 2015-02-05 |
Genre | : Mathematics |
ISBN | : 1107082056 |
Download Representation Theory Book in PDF, ePub and Kindle
This book examines the fundamental results of modern combinatorial representation theory. The exercises are interspersed with text to reinforce readers' understanding of the subject. In addition, each exercise is assigned a difficulty level to test readers' learning. Solutions and hints to most of the exercises are provided at the end.
Author | : Donald Knutson |
Publisher | : Lecture Notes in Mathematics |
Total Pages | : 216 |
Release | : 1973-03-06 |
Genre | : Mathematics |
ISBN | : |
Download Lambda-Rings and the Representation Theory of the Symmetric Group Book in PDF, ePub and Kindle