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math.QA2005★ 25 cited
Representations of the quantum doubles of finite group algebras and solutions of the Yang--Baxter equation
K. A. Dancer, P. S. Isaac, J. Links
Quantum doubles of finite group algebras form a class of quasi-triangular Hopf algebras which algebraically solve the Yang--Baxter equation. Each representation of the quantum doub…
math.CT2005
Ribbon Structure in Symmetric Pre-monoidal Categories
Liam Wagner, Jon Links, Phil Isaac
Let U(g) denote the universal enveloping algebra of a Lie algebra g. We show the existence of a ribbon algebra in a particular deformation of U(g) which leads to a symmetric pre-mo…