1994Journal of Mathematical PhysicsRequires access

Sub-Hopf-algebra-induced twists of quantum enveloping algebras

Ralf A. Engeldinger, Achim Kempf

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Abstract

It is shown that a quasitriangular Hopf algebra can be twisted by the universal R-matrix of any quasitriangular sub-Hopf algebra and examples are given of R-matrices of quantum groups obtained this way.

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What this paper is about

It is shown that a quasitriangular Hopf algebra can be twisted by the universal R-matrix of any quasitriangular sub-Hopf algebra and examples are given of R-matrices of quantum groups obtained this way.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

It is shown that a quasitriangular Hopf algebra can be twisted by the universal R-matrix of any quasitriangular sub-Hopf algebra and examples are given of R-matrices of quantum groups obtained this way.

Key concepts: Quasitriangular Hopf algebra, Hopf algebra, Quantum group, Representation theory of Hopf algebras, Mathematics, Pure mathematics, Quantum affine algebra, Algebra over a field

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