Quantisation of Hamiltonian coactions via twist
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- Quantization of Hamiltonian coactions via twist
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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 structure 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 rinfel’d approach.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Symplectic Geometry |
Vol/bind | 18 |
Udgave nummer | 2 |
Sider (fra-til) | 385-408 |
ISSN | 1527-5256 |
DOI | |
Status | Udgivet - 2020 |
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