Projective Representations Of Finite Groups

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Projective Representations of Finite Groups

Author : Gregory Karpilovsky
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Projective Representations of Finite Groups by : Gregory Karpilovsky

Download or read book Projective Representations of Finite Groups written by Gregory Karpilovsky and published by . This book was released on 1985 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Projective Representations of Finite Groups

Author : Gregory Karpilovsky
Publisher :
ISBN 13 : 9780598040114
Total Pages : 664 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis Projective Representations of Finite Groups by : Gregory Karpilovsky

Download or read book Projective Representations of Finite Groups written by Gregory Karpilovsky and published by . This book was released on with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Projective Representations of Finite Groups

Author : How Ngee Ng
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (836 download)

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Book Synopsis Projective Representations of Finite Groups by : How Ngee Ng

Download or read book Projective Representations of Finite Groups written by How Ngee Ng and published by . This book was released on 1974 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representations of Finite Groups

Author : Hirosi Nagao
Publisher : Elsevier
ISBN 13 : 1483269930
Total Pages : 443 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Representations of Finite Groups by : Hirosi Nagao

Download or read book Representations of Finite Groups written by Hirosi Nagao and published by Elsevier. This book was released on 2014-05-10 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representations of Finite Groups provides an account of the fundamentals of ordinary and modular representations. This book discusses the fundamental theory of complex representations of finite groups. Organized into five chapters, this book begins with an overview of the basic facts about rings and modules. This text then provides the theory of algebras, including theories of simple algebras, Frobenius algebras, crossed products, and Schur indices with representation-theoretic versions of them. Other chapters include a survey of the fundamental theory of modular representations, with emphasis on Brauer characters. This book discusses as well the module-theoretic representation theory due to Green and includes some topics such as Burry–Carlson's theorem and Scott modules. The final chapter deals with the fundamental results of Brauer on blocks and Fong's theory of covering, and includes some approaches to them. This book is a valuable resource for readers who are interested in the various approaches to the study of the representations of groups.

A Course in Finite Group Representation Theory

Author : Peter Webb
Publisher : Cambridge University Press
ISBN 13 : 1107162394
Total Pages : 339 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis A Course in Finite Group Representation Theory by : Peter Webb

Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Irreducible Projective Representations of Finite Groups

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (654 download)

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Book Synopsis Irreducible Projective Representations of Finite Groups by :

Download or read book Irreducible Projective Representations of Finite Groups written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Representations of Finite Groups

Author : Jean Pierre Serre
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (86 download)

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Book Synopsis Linear Representations of Finite Groups by : Jean Pierre Serre

Download or read book Linear Representations of Finite Groups written by Jean Pierre Serre and published by . This book was released on 1996 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Extensions and Projective Representations of Finite Groups

Author : S. Tom Dixon
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (182 download)

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Book Synopsis Extensions and Projective Representations of Finite Groups by : S. Tom Dixon

Download or read book Extensions and Projective Representations of Finite Groups written by S. Tom Dixon and published by . This book was released on 1967 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of Finite Groups

Author : J. S. Lomont
Publisher : Academic Press
ISBN 13 : 1483268969
Total Pages : 359 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Applications of Finite Groups by : J. S. Lomont

Download or read book Applications of Finite Groups written by J. S. Lomont and published by Academic Press. This book was released on 2014-05-12 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Finite Groups focuses on the applications of finite groups to problems of physics, including representation theory, crystals, wave equations, and nuclear and molecular structures. The book first elaborates on matrices, groups, and representations. Topics include abstract properties, applications, matrix groups, key theorem of representation theory, properties of character tables, simply reducible groups, tensors and invariants, and representations generated by functions. The text then examines applications and subgroups and representations, as well as subduced and induced representations, fermion annihilation and creation operators, crystallographic point groups, proportionality tensors in crystals, and nonrelativistic wave equations. The publication takes a look at space group representations and energy bands, symmetric groups, and applications. Topics include molecular and nuclear structures, multiplet splitting in crystalline electric fields, construction of irreducible representations of the symmetric groups, and reality of representations. The manuscript is a dependable source of data for physicists and researchers interested in the applications of finite groups.

Some Contributions to the Theory of Projective Representations of Finite Groups

Author : David Edward Seedhouse
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (911 download)

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Book Synopsis Some Contributions to the Theory of Projective Representations of Finite Groups by : David Edward Seedhouse

Download or read book Some Contributions to the Theory of Projective Representations of Finite Groups written by David Edward Seedhouse and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Degrees of Irreducible Projective Representations of Finite Groups

Author : R. J. Higgs
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (599 download)

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Book Synopsis The Degrees of Irreducible Projective Representations of Finite Groups by : R. J. Higgs

Download or read book The Degrees of Irreducible Projective Representations of Finite Groups written by R. J. Higgs and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Module Characters and Projective Representations of Finite Groups

Author : E. Nauwelaerts
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Module Characters and Projective Representations of Finite Groups by : E. Nauwelaerts

Download or read book Module Characters and Projective Representations of Finite Groups written by E. Nauwelaerts and published by . This book was released on 1988 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory of Finite Group Extensions

Author : Tullio Ceccherini-Silberstein
Publisher : Springer Nature
ISBN 13 : 3031138732
Total Pages : 347 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Representation Theory of Finite Group Extensions by : Tullio Ceccherini-Silberstein

Download or read book Representation Theory of Finite Group Extensions written by Tullio Ceccherini-Silberstein and published by Springer Nature. This book was released on 2022-11-29 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 → N → G → H → 1 of finite groups, describe the irreducible representations of G by means of the structure of the group extension. This problem has attracted many mathematicians, including I. Schur, A.H. Clifford, and G. Mackey and, more recently, M. Isaacs, B. Huppert, Y.G. Berkovich & E.M. Zhmud, and J.M.G. Fell & R.S. Doran. The main topics are, on the one hand, Clifford Theory and the Little Group Method (of Mackey and Wigner) for induced representations, and, on the other hand, Kirillov’s Orbit Method (for step-2 nilpotent groups of odd order) which establishes a natural and powerful correspondence between Lie rings and nilpotent groups. As an application, a detailed description is given of the representation theory of the alternating groups, of metacyclic, quaternionic, dihedral groups, and of the (finite) Heisenberg group. The Little Group Method may be applied if and only if a suitable unitary 2-cocycle (the Mackey obstruction) is trivial. To overcome this obstacle, (unitary) projective representations are introduced and corresponding Mackey and Clifford theories are developed. The commutant of an induced representation and the relative Hecke algebra is also examined. Finally, there is a comprehensive exposition of the theory of projective representations for finite Abelian groups which is applied to obtain a complete description of the irreducible representations of finite metabelian groups of odd order.

Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$

Author : Aleksandr Sergeevich Kleshchëv
Publisher : American Mathematical Soc.
ISBN 13 : 0821874314
Total Pages : 148 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ by : Aleksandr Sergeevich Kleshchëv

Download or read book Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ written by Aleksandr Sergeevich Kleshchëv and published by American Mathematical Soc.. This book was released on 2012 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Degree Patterns of Projective Representations of Finite Groups

Author : Donal Healy (Ph.D.)
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.:/5 (65 download)

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Book Synopsis Degree Patterns of Projective Representations of Finite Groups by : Donal Healy (Ph.D.)

Download or read book Degree Patterns of Projective Representations of Finite Groups written by Donal Healy (Ph.D.) and published by . This book was released on 2006 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory of Finite Groups and Associative Algebras

Author : Charles W. Curtis
Publisher : American Mathematical Soc.
ISBN 13 : 0821840665
Total Pages : 714 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representation Theory of Finite Groups and Associative Algebras by : Charles W. Curtis

Download or read book Representation Theory of Finite Groups and Associative Algebras written by Charles W. Curtis and published by American Mathematical Soc.. This book was released on 2006 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to various aspects of the representation theory of finite groups. This book covers such topics as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations.

Modular Representations of Finite Groups of Lie Type

Author : James E. Humphreys
Publisher : Cambridge University Press
ISBN 13 : 9780521674546
Total Pages : 260 pages
Book Rating : 4.6/5 (745 download)

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Book Synopsis Modular Representations of Finite Groups of Lie Type by : James E. Humphreys

Download or read book Modular Representations of Finite Groups of Lie Type written by James E. Humphreys and published by Cambridge University Press. This book was released on 2006 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.