Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Tannakian_category> ?p ?o }
Showing triples 1 to 64 of
64
with 100 triples per page.
- Tannakian_category abstract "In mathematics, a tannakian category is a particular kind of monoidal category C, equipped with some extra structure relative to a given field K. The role of such categories C is to approximate, in some sense, the category of linear representations of an algebraic group G defined over K. A number of major applications of the theory have been made, or might be made in pursuit of some of the central conjectures of contemporary algebraic geometry and number theory.The name is taken from Tannaka–Krein duality, a theory about compact groups G and their representation theory. The theory was developed first in the school of Alexander Grothendieck. It was later reconsidered by Pierre Deligne, and some simplifications made. The pattern of the theory is that of Grothendieck's Galois theory, which is a theory about finite permutation representations of groups G which are profinite groups.The gist of the theory, which is rather elaborate in detail in the exposition of Saavedra Rivano, is that the fiber functor Φ of the Galois theory is replaced by a tensor functor T from C to K-Vect. The group of natural transformations of Φ to itself, which turns out to be a profinite group in the Galois theory, is replaced by the group (a priori only a monoid) of natural transformations of T into itself, that respect the tensor structure. This is by nature not an algebraic group, but an inverse limit of algebraic groups (pro-algebraic group).".
- Tannakian_category wikiPageExternalLink tc.html.
- Tannakian_category wikiPageExternalLink tc.pdf.
- Tannakian_category wikiPageID "7221237".
- Tannakian_category wikiPageLength "3316".
- Tannakian_category wikiPageOutDegree "39".
- Tannakian_category wikiPageRevisionID "684868769".
- Tannakian_category wikiPageWikiLink Abelian_category.
- Tannakian_category wikiPageWikiLink Alexander_Grothendieck.
- Tannakian_category wikiPageWikiLink Algebraic_geometry.
- Tannakian_category wikiPageWikiLink Algebraic_group.
- Tannakian_category wikiPageWikiLink Arthur_Ogus.
- Tannakian_category wikiPageWikiLink Category:Algebraic_groups.
- Tannakian_category wikiPageWikiLink Category:Duality_theories.
- Tannakian_category wikiPageWikiLink Category:Monoidal_categories.
- Tannakian_category wikiPageWikiLink Category_of_finite_dimensional_K-vector_spaces.
- Tannakian_category wikiPageWikiLink Category_of_modules.
- Tannakian_category wikiPageWikiLink Cohomology.
- Tannakian_category wikiPageWikiLink Compact_group.
- Tannakian_category wikiPageWikiLink Exact_functor.
- Tannakian_category wikiPageWikiLink Fiber_functor.
- Tannakian_category wikiPageWikiLink Field_(mathematics).
- Tannakian_category wikiPageWikiLink Full_and_faithful_functors.
- Tannakian_category wikiPageWikiLink Galois_module.
- Tannakian_category wikiPageWikiLink Grothendiecks_Galois_theory.
- Tannakian_category wikiPageWikiLink Grothendieck–Katz_p-curvature_conjecture.
- Tannakian_category wikiPageWikiLink Hodge_structure.
- Tannakian_category wikiPageWikiLink Mathematics.
- Tannakian_category wikiPageWikiLink Monodromy.
- Tannakian_category wikiPageWikiLink Monoid.
- Tannakian_category wikiPageWikiLink Monoidal_category.
- Tannakian_category wikiPageWikiLink Motive_(algebraic_geometry).
- Tannakian_category wikiPageWikiLink Mumford–Tate_group.
- Tannakian_category wikiPageWikiLink Natural_transformation.
- Tannakian_category wikiPageWikiLink Number_theory.
- Tannakian_category wikiPageWikiLink Pierre_Deligne.
- Tannakian_category wikiPageWikiLink Pro-algebraic_group.
- Tannakian_category wikiPageWikiLink Profinite_group.
- Tannakian_category wikiPageWikiLink Representation_theory.
- Tannakian_category wikiPageWikiLink Representation_theory_of_the_symmetric_group.
- Tannakian_category wikiPageWikiLink Tannaka–Krein_duality.
- Tannakian_category wikiPageWikiLinkText "Tannakian categories".
- Tannakian_category wikiPageWikiLinkText "Tannakian category".
- Tannakian_category wikiPageWikiLinkText "Tannakian formalism".
- Tannakian_category wikiPageWikiLinkText "Tannakian".
- Tannakian_category wikiPageWikiLinkText "Tannakian_category".
- Tannakian_category wikiPageWikiLinkText "tannakian categories".
- Tannakian_category wikiPageWikiLinkText "tannakian category".
- Tannakian_category subject Category:Algebraic_groups.
- Tannakian_category subject Category:Duality_theories.
- Tannakian_category subject Category:Monoidal_categories.
- Tannakian_category hypernym Kind.
- Tannakian_category type Group.
- Tannakian_category type Group.
- Tannakian_category type Theory.
- Tannakian_category type Variety.
- Tannakian_category comment "In mathematics, a tannakian category is a particular kind of monoidal category C, equipped with some extra structure relative to a given field K. The role of such categories C is to approximate, in some sense, the category of linear representations of an algebraic group G defined over K.".
- Tannakian_category label "Tannakian category".
- Tannakian_category sameAs Q7683609.
- Tannakian_category sameAs 淡中圏.
- Tannakian_category sameAs m.025wl26.
- Tannakian_category sameAs Q7683609.
- Tannakian_category wasDerivedFrom Tannakian_category?oldid=684868769.
- Tannakian_category isPrimaryTopicOf Tannakian_category.