• In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously an (unital associative) algebra and a (counital coassociative)...
    35 KB (4,397 words) - 17:50, 19 August 2024
  • In mathematics, a Hopf algebra, H, is quasitriangular if there exists an invertible element, R, of H ⊗ H {\displaystyle H\otimes H} such that R   Δ (...
    4 KB (770 words) - 18:29, 19 September 2023
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    noncommutative algebras with additional structure. These include Drinfeld–Jimbo type quantum groups (which are quasitriangular Hopf algebras), compact matrix...
    30 KB (4,983 words) - 19:49, 25 July 2024
  • Hopf algebra H, particularly the Nichols algebra of a braided vector space in that category. The notion should not be confused with quasitriangular Hopf...
    5 KB (972 words) - 00:08, 13 April 2021
  • Hopf algebra ( A , ∇ , η , Δ , ε , S , R , ν ) {\displaystyle (A,\nabla ,\eta ,\Delta ,\varepsilon ,S,{\mathcal {R}},\nu )} is a quasitriangular Hopf...
    3 KB (451 words) - 08:38, 5 June 2024
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    Vladimir Drinfeld (category Algebraic geometers)
    "Chiral Algebras." Drinfeld reciprocity Drinfeld upper half plane Manin–Drinfeld theorem Quantum group Chiral algebra Quasitriangular Hopf algebra Ruziewicz...
    9 KB (834 words) - 16:51, 29 June 2024
  • scattering method. Quasitriangular Hopf algebra Quasi-triangular quasi-Hopf algebra Ribbon Hopf algebra Vladimir Drinfeld, "Quasi-Hopf algebras", Leningrad Math...
    2 KB (443 words) - 16:25, 2 December 2019
  • in the definition of the classical Yang–Baxter equation. In quasitriangular Hopf algebra, the R-matrix is a solution of the Yang–Baxter equation. The...
    6 KB (727 words) - 06:59, 22 August 2024
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    \hbar ^{0},\hbar } ). Lie bialgebra Yangian Reidemeister move Quasitriangular Hopf algebra H.-D. Doebner, J.-D. Hennig, eds, Quantum groups, Proceedings...
    18 KB (3,328 words) - 11:41, 19 May 2024
  • (1990), "On quasitriangular quasi-Hopf algebras and on a group that is closely connected with Gal(Q/Q)", Rossiĭskaya Akademiya Nauk. Algebra i Analiz (in...
    3 KB (289 words) - 13:29, 30 May 2024