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- Tilting_theory abstract "In mathematics, specifically representation theory, tilting theory describes a way to relate the module categories of two algebras using so-called tilting modules and associated tilting functors. Here, the second algebra is the endomorphism algebra of a tilting module over the first algebra.Tilting theory was motivated by the introduction of reflection functors by Bernšteĭn, Gelfand & Ponomarev (1973); these functors were used to relate representations of two quivers. These functors were reformulated by Auslander, Platzeck & Reiten (1979), and generalized by Brenner & Butler (1980) who introduced tilting functors. Happel & Ringel (1982) defined tilted algebras and tilting modules as further generalizations of this.".
- Tilting_theory wikiPageExternalLink oldindex.html.
- Tilting_theory wikiPageExternalLink III-3-triangulated-categories-in-the-representation-theory-of-finite-dimensional-algebras.pdf.
- Tilting_theory wikiPageExternalLink III-4-Morita-theory-for-derived-categories.pdf.
- Tilting_theory wikiPageExternalLink tilting.pdf.
- Tilting_theory wikiPageID "30365107".
- Tilting_theory wikiPageLength "12646".
- Tilting_theory wikiPageOutDegree "39".
- Tilting_theory wikiPageRevisionID "607908946".
- Tilting_theory wikiPageWikiLink Abelian_category.
- Tilting_theory wikiPageWikiLink Adjoint_functor.
- Tilting_theory wikiPageWikiLink Adjoint_functors.
- Tilting_theory wikiPageWikiLink Algebra_over_a_field.
- Tilting_theory wikiPageWikiLink Algebraically_closed_field.
- Tilting_theory wikiPageWikiLink Associative_algebra.
- Tilting_theory wikiPageWikiLink Cambridge_University_Press.
- Tilting_theory wikiPageWikiLink Category:Representation_theory.
- Tilting_theory wikiPageWikiLink Cluster_algebra.
- Tilting_theory wikiPageWikiLink Derived_category.
- Tilting_theory wikiPageWikiLink Derived_equivalence.
- Tilting_theory wikiPageWikiLink Endomorphism_ring.
- Tilting_theory wikiPageWikiLink Equivalence_(category_theory).
- Tilting_theory wikiPageWikiLink Equivalence_of_categories.
- Tilting_theory wikiPageWikiLink Ext_functor.
- Tilting_theory wikiPageWikiLink Field_(mathematics).
- Tilting_theory wikiPageWikiLink Finitely-generated_module.
- Tilting_theory wikiPageWikiLink Finitely_generated_module.
- Tilting_theory wikiPageWikiLink Functor.
- Tilting_theory wikiPageWikiLink Global_dimension.
- Tilting_theory wikiPageWikiLink Grothendieck_group.
- Tilting_theory wikiPageWikiLink Hereditary_ring.
- Tilting_theory wikiPageWikiLink Injective_cogenerator.
- Tilting_theory wikiPageWikiLink Kernel_(algebra).
- Tilting_theory wikiPageWikiLink Mathematics.
- Tilting_theory wikiPageWikiLink Module_(mathematics).
- Tilting_theory wikiPageWikiLink Morita_equivalence.
- Tilting_theory wikiPageWikiLink Projective_dimension.
- Tilting_theory wikiPageWikiLink Projective_module.
- Tilting_theory wikiPageWikiLink Quiver_(mathematics).
- Tilting_theory wikiPageWikiLink Quotient_module.
- Tilting_theory wikiPageWikiLink Representation_theory.
- Tilting_theory wikiPageWikiLink Semidirect_product.
- Tilting_theory wikiPageWikiLink Springer-Verlag.
- Tilting_theory wikiPageWikiLink Springer_Science+Business_Media.
- Tilting_theory wikiPageWikiLink Surjective.
- Tilting_theory wikiPageWikiLink Surjective_function.
- Tilting_theory wikiPageWikiLink Tor_functor.
- Tilting_theory wikiPageWikiLink Torsion_pair.
- Tilting_theory wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Tilting_theory wikiPageWikiLink Triangulated_category.
- Tilting_theory wikiPageWikiLink Unital_algebra.
- Tilting_theory wikiPageWikiLinkText "Tilting theory".
- Tilting_theory wikiPageWikiLinkText "tilting theory".
- Tilting_theory wikiPageWikiLinkText "tilting".
- Tilting_theory align "right".
- Tilting_theory b "1".
- Tilting_theory b "A".
- Tilting_theory first "L.".
- Tilting_theory hasPhotoCollection Tilting_theory.
- Tilting_theory id "T/t130130".
- Tilting_theory last "Unger".
- Tilting_theory p "1".
- Tilting_theory p "B".
- Tilting_theory p "i".
- Tilting_theory quote "It turns out that there are applications of our functors which make use of the analogous transformations which we like to think of as a change of basis for a fixed root- system - a tilting of the axes relative to the roots which results in a different subset of roots lying in the positive cone. ... For this reason, and because the word 'tilt' inflects easily, we call our functors or simply .".
- Tilting_theory title "Tilting theory".
- Tilting_theory width "33.0".
- Tilting_theory wikiPageUsesTemplate Template:Citation.
- Tilting_theory wikiPageUsesTemplate Template:Eom.
- Tilting_theory wikiPageUsesTemplate Template:Harvtxt.
- Tilting_theory wikiPageUsesTemplate Template:Quotebox.
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- Tilting_theory subject Category:Representation_theory.
- Tilting_theory type Article.
- Tilting_theory type Article.
- Tilting_theory type Field.
- Tilting_theory comment "In mathematics, specifically representation theory, tilting theory describes a way to relate the module categories of two algebras using so-called tilting modules and associated tilting functors. Here, the second algebra is the endomorphism algebra of a tilting module over the first algebra.Tilting theory was motivated by the introduction of reflection functors by Bernšteĭn, Gelfand & Ponomarev (1973); these functors were used to relate representations of two quivers.".
- Tilting_theory label "Tilting theory".
- Tilting_theory sameAs m.0g5sjrt.
- Tilting_theory sameAs Q7803026.
- Tilting_theory sameAs Q7803026.
- Tilting_theory wasDerivedFrom Tilting_theory?oldid=607908946.
- Tilting_theory isPrimaryTopicOf Tilting_theory.