Projective Representations Of The Symmetric Groups PDF Download
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| Author | : Peter Norman Hoffman |
| Publisher | : Oxford University Press |
| Total Pages | : 322 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 9780198535560 |
Download Projective Representations of the Symmetric Groups Book in PDF, ePub and Kindle
The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book presents information currently known on the projective representations of the symmetric and alternating groups. Special emphasis is placed on the theory of Q-functions and skew Q-functions.
| 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 | : Aleksandr Sergeevich Kleshchëv |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 148 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0821874314 |
Download Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ Book in PDF, ePub and Kindle
There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which connects projective representation theory of the symmetric group and representation theory of the algebraic supergroup $Q(n)$ via appropriate Schur (super)algebras and Schur functors. The second approach follows the work of Grojnowski for classical affine and cyclotomic Hecke algebras and connects projective representation theory of symmetric groups in characteristic $p$ to the crystal graph of the basic module of the twisted affine Kac-Moody algebra of type $A_{p-1}^{(2)}$. The goal of this work is to connect the two approaches mentioned above and to obtain new branching results for projective representations of symmetric groups.
| Author | : Aleksandr Sergeevich Kleshchëv |
| Publisher | : |
| Total Pages | : 292 |
| Release | : 2005 |
| Genre | : Hecke algebras |
| ISBN | : 9781107471641 |
Download Linear and Projective Representations of Symmetric Groups Book in PDF, ePub and Kindle
| Author | : Tadeusz Józefiak |
| Publisher | : |
| Total Pages | : 103 |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
Download Characters of projective representations of symmetric groups Book in PDF, ePub and Kindle
| Author | : T. Józefiak |
| Publisher | : |
| Total Pages | : 103 |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
Download Characters of Projective Representations of Symmetric Groups Book in PDF, ePub and Kindle
| Author | : Gregory Karpilovsky |
| Publisher | : |
| Total Pages | : 672 |
| Release | : 1985 |
| Genre | : Mathematics |
| ISBN | : |
Download Projective Representations of Finite Groups Book in PDF, ePub and Kindle
This book presents a systematic account of this topic, from the classical foundations established by Schur 80 years ago to current advances and developments in the field. This work focuses on general methods and builds theory solidly on the study of modules over twisted group algebras, and provides a wide range of skill-sharpening mathematical techniques applicable to this subject. Offers an understanding of projective representations of finite groups for algebraists, number theorists, mathematical researchers studying modern algebra, and theoretical physicists.
| Author | : Aleksandr Sergeevich Kleshchëv |
| Publisher | : Cambridge University Press |
| Total Pages | : 304 |
| Release | : 2005-06-30 |
| Genre | : Mathematics |
| ISBN | : 9780521837033 |
Download Linear and Projective Representations of Symmetric Groups Book in PDF, ePub and Kindle
Kleshchev describes a new approach to the subject of the representation theory of symmetric groups.
| 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 | : Peter Webb |
| Publisher | : Cambridge University Press |
| Total Pages | : 339 |
| Release | : 2016-08-19 |
| Genre | : Mathematics |
| ISBN | : 1107162394 |
Download A Course in Finite Group Representation Theory Book 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.
