Quantisation of Hamiltonian coactions via twist

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Quantisation of Hamiltonian coactions via twist. / Bieliavsky, Pierre; Esposito, Chiara; Nest, Ryszard.

I: Journal of Symplectic Geometry, Bind 18, Nr. 2, 2020, s. 385-408.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bieliavsky, P, Esposito, C & Nest, R 2020, 'Quantisation of Hamiltonian coactions via twist', Journal of Symplectic Geometry, bind 18, nr. 2, s. 385-408. https://doi.org/10.4310/JSG.2020.v18.n2.a2

APA

Bieliavsky, P., Esposito, C., & Nest, R. (2020). Quantisation of Hamiltonian coactions via twist. Journal of Symplectic Geometry, 18(2), 385-408. https://doi.org/10.4310/JSG.2020.v18.n2.a2

Vancouver

Bieliavsky P, Esposito C, Nest R. Quantisation of Hamiltonian coactions via twist. Journal of Symplectic Geometry. 2020;18(2):385-408. https://doi.org/10.4310/JSG.2020.v18.n2.a2

Author

Bieliavsky, Pierre; ; Esposito, Chiara ; Nest, Ryszard. / Quantisation of Hamiltonian coactions via twist. I: Journal of Symplectic Geometry. 2020 ; Bind 18, Nr. 2. s. 385-408.

Bibtex

@article{57d49fd4089844498f14f6f569677c13,
title = "Quantisation of Hamiltonian coactions via twist",
abstract = "In this paper we introduce a notion of quantum Hamiltonian (co)action of Hopf algebras endowed with Drinfel{\textquoteright}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{\textquoteright}d approach.",
author = "Pierre; Bieliavsky and Chiara Esposito and Ryszard Nest",
year = "2020",
doi = "10.4310/JSG.2020.v18.n2.a2",
language = "English",
volume = "18",
pages = "385--408",
journal = "Journal of Symplectic Geometry",
issn = "1527-5256",
publisher = "International Press",
number = "2",

}

RIS

TY - JOUR

T1 - Quantisation of Hamiltonian coactions via twist

AU - Bieliavsky, Pierre;

AU - Esposito, Chiara

AU - Nest, Ryszard

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

U2 - 10.4310/JSG.2020.v18.n2.a2

DO - 10.4310/JSG.2020.v18.n2.a2

M3 - Journal article

VL - 18

SP - 385

EP - 408

JO - Journal of Symplectic Geometry

JF - Journal of Symplectic Geometry

SN - 1527-5256

IS - 2

ER -

ID: 240198236