Representations of a finite group
In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of groups that have a finite number of elements.

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Representation theory of finite groups - Wikipedia, the free ...
In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group ...
en.wikipedia.org/wiki/Representation_theory_of_finite_groups
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ATLAS of Finite Group Representations - V3 - ATLAS (version 1)
This ATLAS of Group Representations has been prepared by Robert Wilson, Peter Walsh, Jonathan Tripp, Ibrahim Suleiman, Richard Parker, Simon Norton, ...
brauer.maths.qmul.ac.uk/Atlas/v3/
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Linear Representations of Finite Groups (Graduate Texts in ...
Linear Representations of Finite Groups (Graduate Texts in Mathematics) (v. 42) [ Jean-Pierre Serre, Leonhard L. Scott] on Amazon.com. *FREE* shipping on ...
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Topics in Representation Theory: Finite Groups and Character ...
but representations of finite groups are inherently more complicated, with no uniform way to classify them. So, for now we'll stick to general features of the theory ...
www.math.columbia.edu/~woit/RepThy/repthynotes2.pdf
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Finite Group Representations for the Pure Mathematician - School of ...
Preface. This book is a teaching tool intended for students who are studying finite group representation theory beyond the level of a first course in character ...
www.math.umn.edu/~webb/RepBook/RepnControl.pdf
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Representation Theory - Mathematics
Unless otherwise mentioned, representation will mean finite-dimensional complex representation. (1.6) Example: The general linear group. Let V be a complex ...
math.berkeley.edu/~teleman/math/RepThry.pdf
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ATLAS of Finite Group Representations - University of Birmingham
Jan 11, 2006 ... Representations of many finite simple groups and related groups such as covering groups and automorphism groups of simple groups.
web.mat.bham.ac.uk/atlas/
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Representations of Finite Groups Andrew Baker - Mathematics
Jul 11, 2011 ... G-homomorphisms and irreducible representations. 17. 2.3. ... Characters and class functions on a finite group. 33. 3.2. Properties of characters.
www.maths.gla.ac.uk/~ajb/dvi-ps/groupreps.pdf
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Representations of finite groups
Abstract. A micro-introduction to the theory of representations of finite groups. ... ( The theory is easy for finite groups because we can average over the group.
www.win.tue.nl/~aeb/2WF02/fgreps.pdf
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Representations of Finite Groups: A Hundred Years, Part I
the representation theory of finite groups. As a student of algebra, I have always been fas- cinated by the theory of group representations. I dabbled in the subject  ...
www.ams.org/notices/199803/lam.pdf
Search results for "Representations of a finite group"
Representations of a finite group in science
ATLAS of Finite Group Representations
ATLAS of Finite Group Representations. This ATLAS of Group Representations has been prepared by Robert Wilson, Peter Walsh, Jonathan Tripp, Ibrahim ...
Math W4044 Representations of finite groups - Columbia University
Columbia University W4044 section 001. Representations of ... A.N.Sengupta, Notes on representations of algebras and finite groups D.M.Jackson, Notes on the ...
ATLAS of Finite Group Representations - University of Birmingham
Jan 11, 2006 ... Representations of many finite simple groups and related groups such as covering groups and automorphism groups of simple groups.
Modular Representation Theory of Finite and p-adic Groups - IMS
(i) Modular Representation Theory of Finite Groups and Related Algebras ... p- Modular representations of p-adic group by Florian Herzig, University of Toronto  ...
Modular Representations Finite Groups Lie Type :: Algebra ...
Modular Representations of Finite Groups of Lie Type ... This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining ... James E. Humphreys, University of Massachusetts, Amherst
Representation theory of finite groups - Wikipedia, the free ...
... transformations. See the article on group representations for an introduction. This article discusses the representation theory of groups that have a finite number of elements. ..... of Finite Groups. Cambridge: Cambridge University Press.
[PDF]Finite Group Representations for the Pure Mathematician - School of ...
It started as notes for courses given at the second-year graduate level at the University of Minnesota ..... Let V be a representation of the finite group G over a.
Modular Representation Theory of Finite Groups - The University of ...
Modular Representation Theory of Finite Groups. A modular representation of a group is a homomorphism from the group to a matrix group over a field with ...
Peter Webb's Representation Theory Book - University of Minnesota
I am writing a book with the title; Finite Group Representations for the Pure Mathematician; which you may download by clicking on: Book download; The book ...
Representation theory - Wikipedia, the free encyclopedia
2.1 Finite groups; 2.2 Modular representations; 2.3 Unitary representations ..... to the Local Representation Theory of Finite Groups, Cambridge University Press, ...
Books on the term Representations of a finite group
Linear Representations of Finite Groups (Graduate Texts in Mathematics) (v. 42)
Jean-Pierre Serre, 1996
This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. The second part is a course given in 1966 to second-year students of l’Ecole Normale. It completes in a certain sense ...
Representations of Finite and Compact Groups
Barry Simon, 1996
This book is a comprehensive pedagogical presentation of the theory of representation of finite and compact Lie groups that would be of interest to research mathematicians and graduate students interested in group theory and generalizations ...
Representation Theory of Finite Groups: An Introductory Approach (Universitext)
Benjamin Steinberg, 2011
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 ...
Representations and Characters of Finite Groups
M. J. Collins, 1990
The book follows both strands of the theory: the exceptional characteristics of Suzuki and Feit and the block character theory of Brauer and includes refinements of original proofs that have become available as the subject has grown.
Representation Theory of Finite Groups and Associative Algebras (Ams Chelsea Publishing)
2006
First published in 1962, this classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. One of its main advantages is that the authors went far beyond the standard elementary representation theory, including a masterly treatment of topics such as general non-commutative algebras, Frobe...
Representations of Finite Groups: Local Cohomology and ...
David J. Benson, Srikanth Iyengar, Henning Krause, 2011
This story started with Mike Hopkins’ classification of thick subcategories of the perfect complexes over a commutative Noetherian ring, followed by a classification of localizing subcategories of its full derived category, due to Amnon ...
Representations of Finite Groups of Lie Type (London Mathematical Society Student Texts)
1991
The authors aim to treat the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasize the Curtis-Alvis duality map and Mackey's theorem and the results that can be deduced from it. They also discuss Deligne-Lusztig induction. This will be the first elementary treatm...

Blog posts on the term
Representations of a finite group
Modular group algebras of finite representation type | On music, computing and math
We are having a reading seminar on the book Representation theory of Artin algebras, by Auslander, Reiten and Smalø, and this afternoon it's my turn to discuss chapter VI, on finite representation type. An important interest of most of the participants (excluding myself) is modular representation theory, and I should be able to tell something…
pbelmans.wordpress.com/2013/11/27/modular-group-algebras-of-finite-representation-type/
Basic Representation Theory of Finite Groups I - Patrick McLaren
Thoughts and research in Mathematics, Machine Intelligence, and Network Theory.
www.patrickmclaren.com/mathematics/2013/07/20/basic-representation-theory-of-finite-groups-i.html
Locally compact groups with faithful finite-dimensional representations | What's new
Locally compact groups with faithful finite-dimensional representations 27 May, 2011 in expository, math. GN, math.
terrytao.wordpress.com/2011/05/27/locally-compact-groups-with-faithful-finite-dimensional-representations/
From the drawers of the museum | Secret Blogging Seminar
One of my amateur interests is paleontology. Paleontologists looking for new examples have two options: go out in the field and dig up a new example, or go looking through drawers of museums to find old examples that had been overlooked. In this blog post I want to give an interesting example of the latter…
sbseminar.wordpress.com/2013/12/12/from-the-drawers-of-the-museum/
The orthogonality relations for representations of finite groups | Annoying Precision
In order to continue our discussion of symmetric functions it will be useful to have some group representation theory prerequisites, although I will use many of the results in the representation theory of the symmetric groups as black boxes. I had planned on using this post to discuss Frobenius reciprocity, but got so carried away…
qchu.wordpress.com/2009/08/30/the-orthogonality-relations-for-representations-of-finite-groups/
Representations of finite groups; basic examples (2) | Abstract Algebra
Example 1. Find all degree one representations of the quaternion group $latex Q_8.$ Solution. We will show that there are exactly four degree one representations of $latex Q_8.$ We know that $latex Q_8 = \{ \pm 1, \pm i, \pm j, \pm k \}. \ \ \ \ \ \ \ \ \ \ \ (1)$ There…
ysharifi.wordpress.com/2011/02/08/finite-group-representations-basic-examples-3/
If the left regular representation of a finite group G contains an odd permutation, then G has a subgroup of index 2 | Project Crazy Project
Let $latex G$ be a finite group and $latex \pi : G \rightarrow S_G$ the left regular representation. Prove that if $latex \pi[G]$ contains an odd permutation, then $latex G$ has a subgroup of index 2. If $latex \pi[G] \leq S_G$ contains an odd permutation, then $latex \pi[G] \not\leq A_G$. Now $latex A_G \vartriangleleft S_G$…
crazyproject.wordpress.com/2010/05/03/if-the-left-regular-representation-of-a-finite-group-g-contains-an-odd-permutation-then-g-has-a-subgroup-of-index-2/
Basics of group representation theory | Delta Epsilons
Today, I want to talk a bit about group representation theory. Many of us (such as myself) are interested in representation theory in general and will likely talk more about it in the future, so it will be useful to summarize the essential ideas here to refer back. But the basics are well known and…
deltaepsilons.wordpress.com/2009/07/10/basics-of-group-representation-theory/
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