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Topic: Character theory

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	Character group - Wikipedia, the free encyclopedia
		In mathematics, a character group is the group of representations of a group by complex-valued functions.
		The characters of an irreducible representation are orthogonal.
		The primary importance of the character group is in number theory, where it is used to construct Dirichlet characters.
	en.wikipedia.org /wiki/Character_group (559 words)

	Character, the Fantastic, and the Failure of Contemporary Literary Theory
		Berry points to mass culture as the executioner of character: "Character as unique personality is replaced by the immediacy and transitory appeal of the public icon, an image created by mass media such as cinema, widely available to a heterogeneous audience and capable of unlimited reproductivity" (177).
		Character cannot, as Vladimir Propp and the structuralists maintain, "be restricted to denoting certain types of agents for certain typical acts" (Gelley 60).
		All characters in James Thurber's "The Secret Life of Walter Mitty" are secondary, and the protagonist or titular wizard and ringmaster in Charles G. Finney's The Circus of Dr. Lao is less important than the young boy or the fabulous creatures and personages that inhabit the midway.
	www.wpl.lib.in.us /roger/CHAR95.HTML (4480 words)

	GAP Manual: 48.1 Some Notes on Character Theory in GAP (Site not responding. Last check: 2007-09-17)
		Characters are one kind of class functions, and we also represent general class functions as lists.
		Characters, classlengths, element orders, power maps, fusion maps and other information about a group is stored in a common character table record just to avoid confusion, not to indicate an algebraic structure (which would mean a domain in the sense of GAP).
		It is one of the advantages of character theory that after one has translated a problem concerning groups into a problem concerning their character tables the calculations are mostly simple.
	www-groups.dcs.st-and.ac.uk /gap/Gap3/Manual3/C048S001.htm (955 words)

	Mark L. Lewis-Home
		In 1999-2000, I taught a section of calculus I and a section of calculus II in the Fall, in the Spring, I again taught the honors section of Calculus II, and during the Summer, I taught Graph Theory and Combinatorics.
		For the 2001-2002 academic year, I taught honors calculus for the whole year and two graduate courses: group theory in the Fall and character theory in the Spring.
		For the Fall of 2004, I was on sabbatical, and in the spring of 2005, I took a research semester.
	www.math.kent.edu /~lewis (948 words)

	[No title]
		The character theory of relevance is that she cares about the kids.
		It’s not the character trait that breaches duty, it’s the conduct of carelessness.
		She has a character trait of carelessness, and her action on the date of the offense is action in conformity.
	www.nvo.com /mikelaw/nss-folder/evidence/evidSep20.doc (2036 words)

	[No title]
		The character of the second occurrence of 'that' is determined by an association just like the first, except that the new association has as its operative character the next character in the sequence of characters of the first association.
		Definition The character of E relative to association a (in symbols, [E]a) is that function from contexts to contents whose value at each context c is the content of E relative to a and c (that is, [E]ac).
		Notice that by this definition the character of 'that' relative to association a is identical to the operative character of a, as defined earlier.
	www.ling.rochester.edu /~braun/Papers/mean.htm (12162 words)

	Cornell Math - Math 732 (SP02)
		This would be an introduction to character theory (and hence representation theory) of finite groups.
		Finite group theory as a subject all its own came into existence with the publication of Burnside's "Theory of Finite Groups" in 1897.
		A substantial portion of Weber's "Lehrbuch der Algebra" was devoted to the same topic.) Frobenius invented character theory and representation theory in the 1890s and the next 10 years saw a substantial further development of finite group theory.
	www.math.cornell.edu /Courses/GradCourses/SP02/732.html (325 words)

	[ref] 65 Character Tables (Site not responding. Last check: 2007-09-17)
		It is one of the advantages of character theory that after one has translated a problem concerning groups into a problem concerning only characters, the necessary calculations are mostly simple.
		In 1., the computation of the irreducible characters is the hardest part; the different algorithms available for this are described in Computing the Irreducible Characters of a Group.
		Character tables constructed from groups know these values upon construction, and for character tables constructed without groups, these values are usually not known and cannot be computed from the table.
	faculty.biu.ac.il /~htmldoc/gap4r1/ref/CHAP065.htm (8653 words)

	Character Design Theory - HERO GAMES Discussion Boards (Site not responding. Last check: 2007-09-17)
		One thing that has repeatedly clicked for me is, when building characters for a high-powered game, usually Amber (a game that has some assumptions that resonate strongly with me), I'll devote a lot of attention to what flunkies, house troops, special servants (high technicians), privileged henchmen and romantic and other personal interests they have.
		No "spreadsheet characters," no munchkinisms, or as little as possible (because sometimes odd limitations and so on are the only way to build something reasonable), no malarky.
		The ideal, as far as I'm concerned, is the official character cards that came with DC Heroes, where you had a picture of a character like the Flash on one side of a small postcard, and everything you needed to know for game play in large, clear print on the other side.
	www.herogames.com /forums/showthread.php?t=31248 (3429 words)

	Dramatica: The Lost Theory Book - Character Justification (Site not responding. Last check: 2007-09-17)
		For the Pivotal Character, it will be shown that the way she believed things to be really IS the way they are in spite of evidence to the contrary.
		No, to be efficient, a Character will consciously or responsively pick one area or the other in which to attempt to solve the problem, using the other area as the measuring stick of progress.
		A Primary Character works just as hard as the Pivotal to find the solution, but in the end discovers that the problem simply cannot be solved in the world she chose.
	storymind.com /dramatica/lost_theory_book/justification.htm (2382 words)

	Education: Theory & Methods: Character Education (Site not responding. Last check: 2007-09-17)
		Character Education - information about Utah's implementation of character education programs.
		Character Education Clearinghouse - a California Department of Education program which is working on a curriculum-embedded model for incorporating character education.
		Washington State Partnership on Character Education - working to develop community-based models for infusing a local definition of character into Washington schools.
	www.usaa-academy.com /nerc/edu/theochar.html (79 words)

	GAP Manual: 48 Character Tables (Site not responding. Last check: 2007-09-17)
		Although a character table is not a domain (see Some Notes on Character Theory in GAP), it needs an operations record.
		•[Characters] are lists of cyclotomics (see Chapter Cyclotomics) or unknowns (see chapter Unknowns); they do not physically ``belong'' to a table, so when necessary, functions ``regard'' them as characters of a table which is given as another parameter.
		Irrational character values are not printed explicitly because the lengths of their printed representation might disturb the view.
	www.math.jussieu.fr /~jmichel/htm/CHAP048.htm (7622 words)

	research (Site not responding. Last check: 2007-09-17)
		It is easy to see that the values of a linear character of a finite group are roots of unity.
		in I. Isaacs', "Character Theory of Finite Groups", and is attributed to Thompson.
		I have written solutions to the first 3 chapters of Isaacs' book on character theory.
	www.math.uiuc.edu /~selvkmrn/research.html (275 words)

	Different Drummers
		There would seem to be a kind of built-in reason for us to believe we are all alike.
		Her creation and refinement of a procedure for determining type in individuals opened the theory of types to research.
		Her invention, the Myers-Briggs Type Indicator, made possible the decades of research by Educational Testing Services (a Research Institute) and the amassing of vast amounts of information regarding the behavior and attitudes of the types in a wide variety of enterprises and walks of life.
	keirsey.com /Drummers.html (1092 words)

	The pi-Character Theory of Solvable Groups (Site not responding. Last check: 2007-09-17)
		There is a deeper structure to the ordinary character theory of finite solvable groups than might at first be apparent.
		Much of this structure, which has no analog for general finite groups, becomes visible only when the characters of solvable groups are viewed from the perspective of a particular set
		Included among the consequences of the theory discussed here are applications to questions about the field generated by the values of a character, about extensions of characters of subgroups and about M-groups.
	anziamj.austms.org.au /JAMSA/V57/Part1/Isaacs.html (126 words)

	[ref] 67 Character Tables
		As an extreme example, for a character table obtained from sorting the classes of
		that divides the degrees of all characters in the block.
		before the character values are displayed; it returns an object that is used as second argument of the function
	www.mathematik.uni-kassel.de /gap4/ref/CHAP067.htm (9118 words)

	Finite Geometry and Character Theory; Author: Pott, A. (University of Augsburg, Germany); Paperback (C Format)
		Finite Geometry and Character Theory; Author: Pott, A. (University of Augsburg, Germany); Paperback (C Format)
		Assuming only a basic knowledge of algebra and algebraic number theory, this monograph explores abelian difference sets.
		One of the main techniques described uses a discrete version of the classical Fourier transform in connection with algebraic number theory.
	www.netstoreusa.com /mabooks/354/354059065X.shtml (188 words)

	SLAM! Wrestling - Trish's Theory of Character Evolution (Site not responding. Last check: 2007-09-17)
		It's been a bumpy ride for her since then, and she hasn't had a consistent storyline, and isn't managing anyone the way she did T&A. "I think it's all about character evolution and I think my character's constantly evolving," Stratus surmised.
		Stratus goes on to describe something that was both fun for her to do, and aided her character.
		In the ring, her skills continue to improve -- a necessity considering she hasn't been wrestling very long at all.
	www.geocities.com /trailmix81/article6.html (451 words)

	CGTalk - Character: Path theory
		This is a character I posted previously, then known as Barbro Wire.
		That thread is buried way back, and I've done a lot of tweaking, so here's the latest WIP for her...
		Larry Shultz's Professional Character Courseware : Feedback from a satisfied student!
	forums.cgsociety.org /showthread.php?t=50252 (245 words)

	Character Theory
		The character theory machinery is currently restricted to characters defined over the complex field.
		Action of a group on the characters of a normal subgroup
		Class matrix, structure constants for centre of group algebra
	magma.maths.usyd.edu.au /magma/Features/node193.html (51 words)

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