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- ==Manin triples and Lie bialgebras== ...ries]] between finite-dimensional Manin triples and finite-dimensional Lie bialgebras. ...4 KB (625 words) - 20:24, 12 November 2024
- ...[[module coalgebra]] over <math>X</math>. We call them a pair of matched bialgebras, if we set <math>\alpha(a\otimes x)=a\cdot x</math> and <math>\beta(a\otime ...3 KB (533 words) - 22:29, 6 March 2024
- [[Category:Bialgebras]] ...2 KB (286 words) - 17:00, 20 December 2023
- ...z |last2=Militaru |first2=Gigel |title=Bialgebroids, <math>\times_A</math>-bialgebras and duality |year=2000 }}</ref> which always inherits an associative multip [[Category:Bialgebras]] ...5 KB (768 words) - 10:29, 27 May 2023
- ...ave been "weakened". In the same spirit, '''weak Hopf algebras''' are weak bialgebras together with a [[linear map]] S satisfying specific conditions; they are g ...7 KB (1,059 words) - 18:18, 1 February 2025
- ...les. Lie bialgebroids are the vector bundle version of [[Lie bialgebra|Lie bialgebras]]. For Lie bialgebras ''<math>(\mathfrak{g},\mathfrak{g}^*)</math>'' there is the notion of Manin ...8 KB (1,466 words) - 16:47, 18 August 2024
- ...>{{Citation |last1=Lambe |first1=Larry A. |title=Quasitriangular Algebras, Bialgebras, Hopf Algebras and The Quantum Double |date=1997 |work=Introduction to the ...30 KB (4,343 words) - 11:30, 2 March 2025