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- Projective_representation abstract "In the field of representation theory in mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear groupPGL(V, F) = GL(V, F) / F∗,where GL(V, F) is the general linear group of invertible linear transformations of V over F and F∗ is the normal subgroup consisting of multiplications of vectors in V by nonzero elements of F (that is, scalar multiples of the identity; scalar transformations).".
- Projective_representation thumbnail Projective-representation-lifting.svg?width=300.
- Projective_representation wikiPageExternalLink ?IDDOC=261150.
- Projective_representation wikiPageID "348860".
- Projective_representation wikiPageLength "6912".
- Projective_representation wikiPageOutDegree "51".
- Projective_representation wikiPageRevisionID "681972129".
- Projective_representation wikiPageWikiLink Affine_representation.
- Projective_representation wikiPageWikiLink Alternating_group.
- Projective_representation wikiPageWikiLink Category:Group_theory.
- Projective_representation wikiPageWikiLink Category:Homological_algebra.
- Projective_representation wikiPageWikiLink Category:Representation_theory.
- Projective_representation wikiPageWikiLink Category:Representation_theory_of_groups.
- Projective_representation wikiPageWikiLink Central_extension_(mathematics).
- Projective_representation wikiPageWikiLink Covering_group.
- Projective_representation wikiPageWikiLink Crelles_Journal.
- Projective_representation wikiPageWikiLink Diagonal_matrices.
- Projective_representation wikiPageWikiLink Diagonal_matrix.
- Projective_representation wikiPageWikiLink Extension_problem.
- Projective_representation wikiPageWikiLink Field_(mathematics).
- Projective_representation wikiPageWikiLink General_linear_group.
- Projective_representation wikiPageWikiLink Group_(mathematics).
- Projective_representation wikiPageWikiLink Group_action.
- Projective_representation wikiPageWikiLink Group_cohomology.
- Projective_representation wikiPageWikiLink Group_extension.
- Projective_representation wikiPageWikiLink Group_homomorphism.
- Projective_representation wikiPageWikiLink Group_representation.
- Projective_representation wikiPageWikiLink Irreducible_representation.
- Projective_representation wikiPageWikiLink Lie_group.
- Projective_representation wikiPageWikiLink Lorentz_group.
- Projective_representation wikiPageWikiLink Mathematics.
- Projective_representation wikiPageWikiLink Metaplectic_group.
- Projective_representation wikiPageWikiLink Möbius_group.
- Projective_representation wikiPageWikiLink Möbius_transformation.
- Projective_representation wikiPageWikiLink Normal_subgroup.
- Projective_representation wikiPageWikiLink Obstruction_theory.
- Projective_representation wikiPageWikiLink Orthogonal_group.
- Projective_representation wikiPageWikiLink Perfect_group.
- Projective_representation wikiPageWikiLink Pin_group.
- Projective_representation wikiPageWikiLink Projective_linear_group.
- Projective_representation wikiPageWikiLink Pullback.
- Projective_representation wikiPageWikiLink Representation_theory.
- Projective_representation wikiPageWikiLink Representation_theory_of_SU(2).
- Projective_representation wikiPageWikiLink Rotation_group_SO(3).
- Projective_representation wikiPageWikiLink Scalar_transformation.
- Projective_representation wikiPageWikiLink Schur_multiplier.
- Projective_representation wikiPageWikiLink Schurs_lemma.
- Projective_representation wikiPageWikiLink Special_linear_group.
- Projective_representation wikiPageWikiLink Special_orthogonal_group.
- Projective_representation wikiPageWikiLink Special_relativity.
- Projective_representation wikiPageWikiLink Special_unitary_group.
- Projective_representation wikiPageWikiLink Spin_(physics).
- Projective_representation wikiPageWikiLink Spin_group.
- Projective_representation wikiPageWikiLink Symmetric_group.
- Projective_representation wikiPageWikiLink Symplectic_group.
- Projective_representation wikiPageWikiLink Universal_perfect_central_extension.
- Projective_representation wikiPageWikiLink Vector_space.
- Projective_representation wikiPageWikiLink File:Projective-representation-lifting.svg.
- Projective_representation wikiPageWikiLinkText "Projective representation".
- Projective_representation wikiPageWikiLinkText "projective group representation".
- Projective_representation wikiPageWikiLinkText "projective group representations".
- Projective_representation wikiPageWikiLinkText "projective representation theory".
- Projective_representation wikiPageWikiLinkText "projective representation".
- Projective_representation wikiPageWikiLinkText "projective".
- Projective_representation wikiPageWikiLinkText "representation".
- Projective_representation hasPhotoCollection Projective_representation.
- Projective_representation wikiPageUsesTemplate Template:Citation.
- Projective_representation wikiPageUsesTemplate Template:Math.
- Projective_representation wikiPageUsesTemplate Template:Reflist.
- Projective_representation wikiPageUsesTemplate Template:See_also.
- Projective_representation subject Category:Group_theory.
- Projective_representation subject Category:Homological_algebra.
- Projective_representation subject Category:Representation_theory.
- Projective_representation subject Category:Representation_theory_of_groups.
- Projective_representation hypernym Homomorphism.
- Projective_representation type Field.
- Projective_representation type Thing.
- Projective_representation comment "In the field of representation theory in mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism from G to the projective linear groupPGL(V, F) = GL(V, F) / F∗,where GL(V, F) is the general linear group of invertible linear transformations of V over F and F∗ is the normal subgroup consisting of multiplications of vectors in V by nonzero elements of F (that is, scalar multiples of the identity; scalar transformations).".
- Projective_representation label "Projective representation".
- Projective_representation seeAlso Spinor.
- Projective_representation sameAs m.01z07n.
- Projective_representation sameAs Q7249476.
- Projective_representation sameAs Q7249476.
- Projective_representation sameAs 射影表示.
- Projective_representation wasDerivedFrom Projective_representation?oldid=681972129.
- Projective_representation depiction Projective-representation-lifting.svg.
- Projective_representation isPrimaryTopicOf Projective_representation.