Representation Theory of Symmetric Groups
Title | Representation Theory of Symmetric Groups PDF eBook |
Author | Pierre-Loic Meliot |
Publisher | CRC Press |
Total Pages | 666 |
Release | 2017-05-12 |
Genre | Mathematics |
ISBN | 1498719139 |
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.
The Representation Theory of the Symmetric Group
Title | The Representation Theory of the Symmetric Group PDF eBook |
Author | Gordon Douglas James |
Publisher | Cambridge University Press |
Total Pages | 0 |
Release | 1984-12-28 |
Genre | Mathematics |
ISBN | 0521302366 |
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.
The Symmetric Group
Title | The Symmetric Group PDF eBook |
Author | Bruce E. Sagan |
Publisher | Springer Science & Business Media |
Total Pages | 254 |
Release | 2013-03-09 |
Genre | Mathematics |
ISBN | 1475768044 |
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
Linear and Projective Representations of Symmetric Groups
Title | Linear and Projective Representations of Symmetric Groups PDF eBook |
Author | Alexander Kleshchev |
Publisher | Cambridge University Press |
Total Pages | 293 |
Release | 2005-06-30 |
Genre | Mathematics |
ISBN | 1139444069 |
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
Representation Theory of Finite Groups
Title | Representation Theory of Finite Groups PDF eBook |
Author | Benjamin Steinberg |
Publisher | Springer Science & Business Media |
Total Pages | 166 |
Release | 2011-10-23 |
Genre | Mathematics |
ISBN | 1461407761 |
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.
Representations of the Infinite Symmetric Group
Title | Representations of the Infinite Symmetric Group PDF eBook |
Author | Alexei Borodin |
Publisher | Cambridge University Press |
Total Pages | 169 |
Release | 2017 |
Genre | Mathematics |
ISBN | 1107175550 |
An introduction to the modern representation theory of big groups, exploring its connections to probability and algebraic combinatorics.
Representation Theory of the Symmetric Group
Title | Representation Theory of the Symmetric Group PDF eBook |
Author | Gilbert de Beauregard Robinson |
Publisher | Edinburgh : University Press |
Total Pages | 218 |
Release | 1961 |
Genre | Group theory |
ISBN |