quasitriangular
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Quasitriangular Hopf algebra — In mathematics, a Hopf algebra, H, is quasitriangular[1] if there exists an invertible element, R, of such that for all , where Δ is the coproduct on H, and the linear map is … Wikipedia
Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single … Wikipedia
Ribbon Hopf algebra — A Ribbon Hopf algebra (A,m,Delta,u,varepsilon,S,mathcal{R}, u) is a Quasitriangular Hopf algebrawhich possess an invertible central element u more commonly known as the ribbon element, such that the following conditions hold:: u^{2}=uS(u), ; S(… … Wikipedia
Hopf algebra — In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously a (unital associative) algebra, a coalgebra, and has an antiautomorphism, with these structures compatible.Hopf algebras occur naturally in algebraic… … Wikipedia
Vladimir Drinfel'd — Born February 4, 1954 (1954 02 04) (age 57) Kharkiv, Ukrainian SSR, Soviet Union (currently in Ukraine) Nationality … Wikipedia
List of mathematics articles (Q) — NOTOC Q Q analog Q analysis Q derivative Q difference polynomial Q exponential Q factor Q Pochhammer symbol Q Q plot Q statistic Q systems Q test Q theta function Q Vandermonde identity Q.E.D. QED project QR algorithm QR decomposition Quadratic… … Wikipedia
Quasi-Hopf algebra — A quasi Hopf algebra is a generalization of a Hopf algebra, which was defined by the Russian mathematician Vladimir Drinfeld in 1989.A quasi Hopf algebra is a quasi bialgebra mathcal{B A} = (mathcal{A}, Delta, varepsilon, Phi)for which there… … Wikipedia
Quasi-triangular Quasi-Hopf algebra — A quasi triangular quasi Hopf algebra is a specialized form of a quasi Hopf algebra defined by the Ukrainian mathematician Vladimir Drinfeld in 1989. It is also a generalized form of a quasi triangular Hopf algebra.A quasi triangular quasi Hopf… … Wikipedia
Supersymmetry as a quantum group — The concept in theoretical physics of supersymmetry can be reinterpretated in the language of noncommutative geometry and quantum groups. In particular, it involves a mild form of noncommutativity, namely supercommutativity. ( 1)F Let s look at… … Wikipedia
