Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Hopf_algebroid> ?p ?o }
Showing triples 1 to 27 of
27
with 100 triples per page.
- Hopf_algebroid abstract "In mathematics, in the theory of Hopf algebras, a Hopf algebroid is a generalisation of weak Hopf algebras and certain skew Hopf algebras: the concept was introduced by J.-H. Lu in 1996 as a result on work on groupoids in Poisson geometry (later shown equivalent in nontrivial way to a construction of Takeuchi from the 1970s and another by Xu around the year 2000). They may be loosely thought of as Hopf algebras over a noncommutative base ring, where weak Hopf algebras become Hopf algebras over a separable algebra. It is a theorem that a Hopf algebroid satisfying a finite projectivity condition over a separable algebra is a weak Hopf algebra, and conversely a weak Hopf algebra H is a Hopf algebroid over its separable subalgebra HL. The antipode axioms have been changed by G. Böhm and K. Szlachanyi (J. Algebra) in 2004 for tensor categorical reasons and to accommodate examples associated to depth two Frobenius algebra extensions.".
- Hopf_algebroid wikiPageID "31530123".
- Hopf_algebroid wikiPageLength "5519".
- Hopf_algebroid wikiPageOutDegree "7".
- Hopf_algebroid wikiPageRevisionID "617810276".
- Hopf_algebroid wikiPageWikiLink Category:Hopf_algebras.
- Hopf_algebroid wikiPageWikiLink Coalgebra.
- Hopf_algebroid wikiPageWikiLink Frobenius_algebra.
- Hopf_algebroid wikiPageWikiLink Groupoid.
- Hopf_algebroid wikiPageWikiLink Hopf_algebra.
- Hopf_algebroid wikiPageWikiLink Poisson_geometry.
- Hopf_algebroid wikiPageWikiLink Poisson_manifold.
- Hopf_algebroid wikiPageWikiLink Separable_algebra.
- Hopf_algebroid wikiPageWikiLinkText "Hopf algebroid".
- Hopf_algebroid hasPhotoCollection Hopf_algebroid.
- Hopf_algebroid wikiPageUsesTemplate Template:Cite_book.
- Hopf_algebroid wikiPageUsesTemplate Template:Cite_journal.
- Hopf_algebroid wikiPageUsesTemplate Template:Empty_section.
- Hopf_algebroid subject Category:Hopf_algebras.
- Hopf_algebroid hypernym Generalisation.
- Hopf_algebroid comment "In mathematics, in the theory of Hopf algebras, a Hopf algebroid is a generalisation of weak Hopf algebras and certain skew Hopf algebras: the concept was introduced by J.-H. Lu in 1996 as a result on work on groupoids in Poisson geometry (later shown equivalent in nontrivial way to a construction of Takeuchi from the 1970s and another by Xu around the year 2000).".
- Hopf_algebroid label "Hopf algebroid".
- Hopf_algebroid sameAs m.011bfl3s.
- Hopf_algebroid sameAs Q18207846.
- Hopf_algebroid sameAs Q18207846.
- Hopf_algebroid wasDerivedFrom Hopf_algebroid?oldid=617810276.
- Hopf_algebroid isPrimaryTopicOf Hopf_algebroid.