Hopf algebroid twists for deformed spaces
July 7, 2016, 15:50–16:20, invited talk at Max Born Symposium Noncommutative geometry, quantum symmetries and quantum gravity II, Wroclaw, July 4-7, 2016
I shall review Drinfeld twists of Hopf algebroids as introduced by Ping Xu with emphasis,on the deformation of the Heisenberg-Weyl algebra. Then I am going to show how special twists bring out the Hopf algebroid structures for Heisenberg doubles of universal enveloping algebras of Lie algebras and of kappa-deformed spaces. I shall emphasize the role of canonical elements. If time permits I shall also give a sketch of work in progress on the Hopf algebroid structures on Heisenberg doubles of universal enveloping of Lie algebroids and speculate on the role of such a generalization for the deformation theory.
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