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Lagrangian dynamics on matched pairs
(Elsevier Science BV, 2017-01)
Given a matched pair of Lie groups, we show that the tangent bundle of the matched pair group is isomorphic to the matched pair of the tangent groups. We thus obtain the Euler–Lagrange equations on the trivialized matched ...
A characteristic map for compact quantum groups
(Springer Heidelberg, 2017-09)
We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U-q(g) to the twisted cyclic cohomology of quantum group algebra ...