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arXiv · 1804.06160

Quantization of Hamiltonian coactions via twist

Pierre Bieliavsky·Chiara Esposito·Ryszard Nest
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Abstract

In this paper we introduce a notion of quantum Hamiltonian (co)action of Hopf algebras endowed with Drinfel'd twist structure (resp., 2-cocycles). First, we define a classical Hamiltonian action in the setting of Poisson Lie groups compatible with the 2-cocycle stucture and we discuss a concrete example. This allows us to construct, out of the classical momentum map, a quantum momentum map in the setting of Hopf coactions and to quantize it by using Drinfel'd approach.

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Pierre Bieliavsky, Chiara Esposito, Ryszard Nest. 2018-04-17. Quantization of Hamiltonian coactions via twist. https://doi.org/10.4310/jsg.2020.v18.n2.a2

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