Lambda-Rings and the Representation Theory of the Symmetric Group
Title | Lambda-Rings and the Representation Theory of the Symmetric Group PDF eBook |
Author | Donald Knutson |
Publisher | Springer |
Total Pages | 208 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540384081 |
Lambda-Rings and the Representation Theory of the Symmetric Group
Title | Lambda-Rings and the Representation Theory of the Symmetric Group PDF eBook |
Author | Donald Knutson |
Publisher | |
Total Pages | 216 |
Release | 2014-01-15 |
Genre | |
ISBN | 9783662188644 |
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.
A Course in Finite Group Representation Theory
Title | A Course in Finite Group Representation Theory PDF eBook |
Author | Peter Webb |
Publisher | Cambridge University Press |
Total Pages | 339 |
Release | 2016-08-19 |
Genre | Mathematics |
ISBN | 1107162394 |
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
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.
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 |
Representation Theory of Symmetric Groups
Title | Representation Theory of Symmetric Groups PDF eBook |
Author | Pierre-Loic Meliot |
Publisher | CRC Press |
Total Pages | 433 |
Release | 2017-05-12 |
Genre | Mathematics |
ISBN | 1315353857 |
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.