Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Character_theory> ?p ?o }
- Character_theory abstract "This article refers to the use of the term character theory in mathematics. For the media studies definition, see Character theory (Media). For related senses of the word character, see Character (mathematics).In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix. The character carries the essential information about the representation in a more condensed form. Georg Frobenius initially developed representation theory of finite groups entirely based on the characters, and without any explicit matrix realization of representations themselves. This is possible because a complex representation of a finite group is determined (up to isomorphism) by its character. The situation with representations over a field of positive characteristic, so-called \"modular representations\", is more delicate, but Richard Brauer developed a powerful theory of characters in this case as well. Many deep theorems on the structure of finite groups use characters of modular representations.".
- Character_theory wikiPageID "691741".
- Character_theory wikiPageLength "21616".
- Character_theory wikiPageOutDegree "82".
- Character_theory wikiPageRevisionID "707880493".
- Character_theory wikiPageWikiLink Alfred_H._Clifford.
- Character_theory wikiPageWikiLink Algebraic_integer.
- Character_theory wikiPageWikiLink Algebraically_closed_field.
- Character_theory wikiPageWikiLink Association_scheme.
- Character_theory wikiPageWikiLink Burnside_theorem.
- Character_theory wikiPageWikiLink Cartan_subgroup.
- Character_theory wikiPageWikiLink Category:Representation_theory_of_groups.
- Character_theory wikiPageWikiLink Character_(mathematics).
- Character_theory wikiPageWikiLink Character_group.
- Character_theory wikiPageWikiLink Character_theory_(media).
- Character_theory wikiPageWikiLink Characteristic.
- Character_theory wikiPageWikiLink Characteristic_(algebra).
- Character_theory wikiPageWikiLink Class_function_(algebra).
- Character_theory wikiPageWikiLink Classification_of_finite_simple_groups.
- Character_theory wikiPageWikiLink Clifford_theory.
- Character_theory wikiPageWikiLink Conjugacy_class.
- Character_theory wikiPageWikiLink Conjugate_transpose.
- Character_theory wikiPageWikiLink Dihedral_group.
- Character_theory wikiPageWikiLink Dimension_(vector_space).
- Character_theory wikiPageWikiLink Direct_sum.
- Character_theory wikiPageWikiLink Emil_Artin.
- Character_theory wikiPageWikiLink Everett_C._Dade.
- Character_theory wikiPageWikiLink Exterior_algebra.
- Character_theory wikiPageWikiLink Feit–Thompson_theorem.
- Character_theory wikiPageWikiLink Ferdinand_Georg_Frobenius.
- Character_theory wikiPageWikiLink Field_(mathematics).
- Character_theory wikiPageWikiLink Function_(mathematics).
- Character_theory wikiPageWikiLink George_Mackey.
- Character_theory wikiPageWikiLink Graded_vector_space.
- Character_theory wikiPageWikiLink Graham_Higman.
- Character_theory wikiPageWikiLink Group_(mathematics).
- Character_theory wikiPageWikiLink Group_isomorphism.
- Character_theory wikiPageWikiLink Group_representation.
- Character_theory wikiPageWikiLink Group_theory.
- Character_theory wikiPageWikiLink Identity_element.
- Character_theory wikiPageWikiLink Induced_representation.
- Character_theory wikiPageWikiLink Irreducible_representation.
- Character_theory wikiPageWikiLink J-invariant.
- Character_theory wikiPageWikiLink Kernel_(algebra).
- Character_theory wikiPageWikiLink Lie_group.
- Character_theory wikiPageWikiLink Mathematics.
- Character_theory wikiPageWikiLink Michio_Suzuki.
- Character_theory wikiPageWikiLink Modular_representation_theory.
- Character_theory wikiPageWikiLink Monster_group.
- Character_theory wikiPageWikiLink Monstrous_moonshine.
- Character_theory wikiPageWikiLink Number_theory.
- Character_theory wikiPageWikiLink Order_(group_theory).
- Character_theory wikiPageWikiLink Quaternion.
- Character_theory wikiPageWikiLink Quaternion_group.
- Character_theory wikiPageWikiLink Representation_theory.
- Character_theory wikiPageWikiLink Representation_theory_of_finite_groups.
- Character_theory wikiPageWikiLink Richard_Brauer.
- Character_theory wikiPageWikiLink Root_of_unity.
- Character_theory wikiPageWikiLink Simple_group.
- Character_theory wikiPageWikiLink Sylow_theorems.
- Character_theory wikiPageWikiLink Symmetric_algebra.
- Character_theory wikiPageWikiLink Tensor_product.
- Character_theory wikiPageWikiLink Trace_(linear_algebra).
- Character_theory wikiPageWikiLink Trivial_representation.
- Character_theory wikiPageWikiLink Up_to.
- Character_theory wikiPageWikiLink Vector_space.
- Character_theory wikiPageWikiLink Walter_Feit.
- Character_theory wikiPageWikiLink Weyl_character_formula.
- Character_theory wikiPageWikiLinkText "Character theory".
- Character_theory wikiPageWikiLinkText "Character theory#Definitions".
- Character_theory wikiPageWikiLinkText "Character theory#Orthogonality relations".
- Character_theory wikiPageWikiLinkText "Frobenius reciprocity".
- Character_theory wikiPageWikiLinkText "Group-character theory".
- Character_theory wikiPageWikiLinkText "character function".
- Character_theory wikiPageWikiLinkText "character induction".
- Character_theory wikiPageWikiLinkText "character table".
- Character_theory wikiPageWikiLinkText "character theory".
- Character_theory wikiPageWikiLinkText "character".
- Character_theory wikiPageWikiLinkText "characters".
- Character_theory wikiPageWikiLinkText "complex case".
- Character_theory wikiPageWikiLinkText "group characters".
- Character_theory wikiPageWikiLinkText "induced character".
- Character_theory wikiPageWikiLinkText "irreducible characters".
- Character_theory wikiPageWikiLinkText "linear character".
- Character_theory wikiPageWikiLinkText "ordinary character".
- Character_theory date "June 2011".
- Character_theory reason "recursive definition".
- Character_theory title "Character".
- Character_theory urlname "Character".
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- Character_theory wikiPageUsesTemplate Template:PlanetMath.