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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 derived_categories_and_morita_theory.pdf.
- Tilting_theory wikiPageExternalLink tilting.pdf.
- Tilting_theory wikiPageExternalLink III-4-Morita-theory-for-derived-categories.pdf.
- Tilting_theory wikiPageID "30365107".
- Tilting_theory wikiPageRevisionID "603043008".
- 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 subject Category:Representation_theory.
- 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=603043008.
- Tilting_theory isPrimaryTopicOf Tilting_theory.