On coproducts of quasi-triangular Hopf algebras
Algebra i analiz, Tome 6 (1994) no. 4, pp. 204-222
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We introduce two classes of coassociative comultiplications on quasi-triangular Hopf algebras. Specializing to quantum universal envelopes, these coproducts are shown to provide a universal quantization of the modified Poisson brackets on Lie groups associated with the parabolic and Iwasawa families of non-skew solutions of the modified classical Yang–Baxter equation.