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 (...

In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously a (unital associative) algebra and a (counital coassociative)...

Hopf algebra H, particularly the Nichols algebra of a braided vector space in that category. The notion should not be confused with quasitriangular Hopf...

noncommutative algebras with additional structure. These include Drinfeld–Jimbo type quantum groups (which are quasitriangular Hopf algebras), compact matrix...

scattering method. Quasitriangular Hopf algebra Quasi-triangular quasi-Hopf algebra Ribbon Hopf algebra Vladimir Drinfeld, "Quasi-Hopf algebras", Leningrad Math...

Hopf algebra ( A , ∇ , η , Δ , ε , S , R , ν ) {\displaystyle (A,\nabla ,\eta ,\Delta ,\varepsilon ,S,{\mathcal {R}},\nu )} is a quasitriangular Hopf...

"Chiral Algebras." Drinfeld reciprocity Drinfeld upper half plane Manin–Drinfeld theorem Quantum group Chiral algebra Quasitriangular Hopf algebra Ruziewicz...

{\displaystyle \tau _{V,W}} , most importantly the modules over quasitriangular Hopf algebras and Yetter–Drinfeld modules over finite groups (such as Z 2...

\hbar ^{0},\hbar } ). Lie bialgebra Yangian Reidemeister move Quasitriangular Hopf algebra Yang–Baxter operator H.-D. Doebner, J.-D. Hennig, eds, Quantum...

to the solution of the Yang–Baxter equation associated with a quasitriangular Hopf algebra. 1988 to 1998 – Mihai Gavrilă discovers in 1988 the new quantum...

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...

(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...

(1997), Lambe, Larry A.; Radford, David E. (eds.), "Quasitriangular Algebras, Bialgebras, Hopf Algebras and The Quantum Double", Introduction to the Quantum...

[clarification needed] The subject matter of manifolds is a strand common to algebraic topology, differential topology and geometric topology. Terminology: By...

Categories of abstract algebraic structures including representation theory and universal algebra; Homological algebra; Homotopical algebra; Topology using categories...