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
Quantum group (redirect from Quantized universal enveloping algebra)
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
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...
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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
Yang–Baxter equation (redirect from Yang–Baxter algebra)
\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
Grothendieck–Teichmüller group (section Relation to algebraic topology via the little disks operads)
(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