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	Group representation - Wikipedia, the free encyclopedia
		Group representation theory is the branch of mathematics that studies properties of abstract groups via their representations as linear transformations of vector spaces.
		A representation of a group G on a vector space V over a field K is a group homomorphism from G to GL(V), the general linear group on V.
		In the case where V is of finite dimension n it is common to choose a basis for V and identify GL(V) with GL(n, K) the group of n-by-n invertible matrices.
	en.wikipedia.org /wiki/Group_representation (1363 words)

	Talk:Representation theory of finite groups - Wikipedia, the free encyclopedia
		(Actually ANY finite dimensional rep of a finite group can be turned into a unitary rep. To see this, note that any finite dimensional space can be turned into a Hilbert space with a positive definite sesquilinear form <.,.>.
		Too technical notice: actually group representation is the general introduction.
		The left regular representation is a faithful linear representation for any finite group.
	en.wikipedia.org /wiki/Talk:Representation_theory_of_finite_groups (239 words)

	Generalized q-Schur algebras and modular representation theory of finite groups with split (BN)-pairs (ResearchIndex) (Site not responding. Last check: 2007-11-01)
		We describe how the decomposition matrix of a finite group with split BN -pair, with respect to a non-describing prime, can be partially described by the decomposition matrices of suitably chosen q-Schur algebras.
		4 the representations of reductive groups with disconnected ce..
		2 On Quotiens of Hom-functors and representations of finite li..
	citeseer.ist.psu.edu /555106.html (660 words)

	TUD : Courses and Lectures Summer Term 01 - Comment: Representation theory of finite groups
		In representation theory of finite groups abstract groups are realised as matrix groups in order to obtain more information on their structure.
		Methods of representation theory are often used in order to prove group theoretical results.
		Robinson: A Course in the Theory of Groups.
	www.tu-darmstadt.de /vv/ws01-02/comments/04.229.en.tud (80 words)

	Representation theory of the finite unipotent linear groups
		Representation theory of the finite unipotent linear groups
		In this paper we are interested in the case when $K$ is the finite field $F q$ , and our goal is to better understand the representation theory of $UL n, F q$ .
		The complete classification of the complex irreducible representations of this group has long been known to be a difficult task.
	repository.upenn.edu /dissertations/AAI3015396 (225 words)

	Amazon.com: Representation Theory of Finite Groups: Algebra and Arithmetic (Graduate Studies in Mathematics): Books: ... (Site not responding. Last check: 2007-11-01)
		And when a group (finite or otherwise) acts on something else (as a set of symmetries, for example), one ends up with a natural representation of the group.
		This book is an introduction to the representation theory of finite groups from an algebraic point of view, regarding representations as modules over the group algebra.
		The book has an extensive development of the semisimple case, where the characteristic of the field is zero or is prime to the order of the group, and builds the foundations of the modular case, where the characteristic of the field divides the order of the group.
	www.amazon.com /exec/obidos/tg/detail/-/0821832220?v=glance (581 words)

	OUP: Representation Theory of Finite Groups: Algebra and Arithmetic: Weintraub (Site not responding. Last check: 2007-11-01)
		OUP: Representation Theory of Finite Groups: Algebra and Arithmetic: Weintraub
		Representation Theory of Finite Groups: Algebra and Arithmetic
		In particular, representation theory has been one of the great tools in the study and classification of finite groups.
	www.oup.co.uk /isbn/0-8218-3222-0 (497 words)

	Course Information-Math 691, Spring 2005
		Representation theory is a way of analyzing abstractly defined objects by realizing them concretely as matrices acting on vector spaces.
		The foundations of representations of finite groups go back to the work of Frobenius and Schur at the turn of the twentieth century.
		Many aspects of representation theory of a variety of algebraic objects are being worked out in current research.
	www.isu.edu /~krilcath/m691/info.html (428 words)

	Citebase - Representation theory of 2-groups on finite dimensional 2-vector spaces
		Representation theory of 2-groups on finite dimensional 2-vector spaces
		A 2-group is a "categorified" version of a group, in which the underlying set G has been replaced by a category and the multiplication map has been replaced by a functor.
		The representation theory for categorical groups is constructed.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0408120 (859 words)

	Representation Theory of Finite Reductive Groups - Cambridge University Press
		Representation Theory of Finite Reductive Groups - Cambridge University Press
		At the crossroads of representation theory, algebraic geometry and finite group theory, this book blends together many of the main concerns of modern algebra, synthesising the past 25 years of research, with full proofs of some of the most remarkable achievements in the area.
		The second is a straightforward and simplified account of the Dipper—James theorems relating irreducible characters and modular representations.
	www.cup.cam.ac.uk /catalogue/print.asp?isbn=0521825172&print=y (330 words)

	Modular Representation Theory of Finite Groups New, Used Books, Cheap Prices, ISBN 3110163675
		Representation Theory of Finite Groups (By Walter Feit)
		Representation Theory of Finite Groups (By Martin Burrow)
		Representation Theory of Finite Reductive Groups (By Marc Cabanes)
	www.bookfinder4u.com /detail/3110163675.html (260 words)

	Citebase - Generalized q-Schur algebras and modular representation theory of finite groups with split (BN)-pairs
		We describe how the decomposition matrix of a finite group with split BN-pair, with respect to a non-describing prime, can be partially described by the decomposition matrices of suitably chosen q-Schur algebras.
		[6] R. Dipper, On Quotiens of Hom-functors and representations of finite linear groups I, Jour.
		q-Schur algebras and finite groups with split (BN)-pairs 47 [37] G. James, The irreducible representations of the finite general linear groups, Proc.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/9808096 (904 words)

	Current trends in representation theory of finite groups (Site not responding. Last check: 2007-11-01)
		In the case of finite groups of Lie type, there are connections between the complexes providing derived equivalence and braid groups actions on Deligne- Lusztig varieties, leading to "cyclotomic Hecke algebras".
		Recent work of Ariki, Grojnowski, and others which connects representation theory of Iwahori-Hecke algebras at roots of unity with representation theory of affine Kac-Moody Lie algebras.
		Applications of representation theory and cohomology of finite groups to topology, especially by Benson, Carlson, and Adem.
	www.pims.math.ca /birs/workshops/2003/03w5099 (209 words)

	Find in a Library: Representation theory of finite groups and finite-dimensional algebras : proceedings of the ... (Site not responding. Last check: 2007-11-01)
		Find in a Library: Representation theory of finite groups and finite-dimensional algebras : proceedings of the conference at the University of Bielefeld from May 15-17, 1991, and 7 survey articles on topics of representation theory
		Representation theory of finite groups and finite-dimensional algebras : proceedings of the conference at the University of Bielefeld from May 15-17, 1991, and 7 survey articles on topics of representation theory
		WorldCat is provided by OCLC Online Computer Library Center, Inc. on behalf of its member libraries.
	worldcatlibraries.org /wcpa/ow/953ed1d5968b6ab0a19afeb4da09e526.html (109 words)

	Local Representation Theory by J. L. Alperin, New, Used Books, Cheap Prices, ISBN 052144926X
		Representation theory has applications to number theory, combinatorics and many areas of algebra.
		The aim of this text is to present some of the key results in the representation theory of finite groups.
		Trends in the Representation Theory of Finite Dime...
	www.bookfinder4u.com /detail/052144926X.html (343 words)

	AV #87720 - Video Cassette - A Century of Representation Theory of Finite Groups. (Site not responding. Last check: 2007-11-01)
		A Century of Representation Theory of Finite Groups.
		The representation theory of finite groups throughout history is reviewed in this lecture by University of Oregon professor Charles W. Curtis.
		From work by Gauss and Frobenius, through research by Burnside, which led to the theorem about groups of odd or der by Feit-Thompson, and then to the contributions by Noether and Brauer, this presentation gives students with background in algebra and group theory an overview of representation theory.
	www.sfsu.edu /~avitv/avcatalog/87720.htm (108 words)

	Modular Representation Theory of Finite Groups : Proceedings of a Symposium Held at the University of Virginia, ...
		Modular Representation Theory of Finite Groups : Proceedings of a Symposium Held at the University of Virginia, Charlottesville, Virginia May 8-15, 1998
		Subjects : Mathematics : Advanced : Representations of groups
		Subjects : Mathematics : Finite Mathematics : Finite groups
	www.allbookstores.com /book/3110163675 (99 words)

	Workshop Hannover: Representation theory of finite groups and finite dimensional algebras
		Workshop Hannover: Representation theory of finite groups and finite dimensional algebras
		If you would like to come, please send an e-mail to one of the local organizers
		Rouquier blocks of symmetric groups will be held.
	www-ifm.math.uni-hannover.de /~ag-algebra/workshop04 (79 words)

	Solution of a Non-domestic Tame Classification Problem from Integral Representation Theory of Finite Groups; Author: ...
		Solution of a Non-domestic Tame Classification Problem from Integral Representation Theory of Finite Groups; Author: Dieterich, Ernest; Paperback
		Solution of a Non-domestic Tame Classification Problem from Integral Representation Theory of Finite Groups
		Prices subject to change to be advised on confirmation of order.
	www.netstoreusa.com /mabooks/082/0821825216.shtml (166 words)

	Representations of finite groups and combinatorics (Site not responding. Last check: 2007-11-01)
		The focus of the meeting was on those areas of representation theory of finite groups which have strong connections with combinatorics, the related combinatorics of partitions and tableaux, the theory of symmetric functions, and related areas.
		In addition to the one hour lectures by the principal speakers there were further talks by the participants on the following topics: Representation theory of symmetric and related groups.
		Relations to other areas, such as invariant theory and physics.
	www.math.ku.dk /~olsson/announc.htm (211 words)

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