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Hopf algebroid twists for deformation quantization of linear Poisson structures (CROSBI ID 228164)

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Meljanac, Stjepan ; Škoda, Zoran Hopf algebroid twists for deformation quantization of linear Poisson structures // Symmetry Integrability and Geometry-Methods and Applications, 14 (2018), 026; 1-23. doi: 10.3842/SIGMA.2018.026

Podaci o odgovornosti

Meljanac, Stjepan ; Škoda, Zoran

engleski

Hopf algebroid twists for deformation quantization of linear Poisson structures

In our earlier article [Lett. Math. Phys. 107 (2017), 475-503], we explicitly described a topological Hopf algebroid playing the role of the noncommutative phase space of Lie algebra type. Ping Xu has shown that every deformation quantization leads to a Drinfeld twist of the associative bialgebroid of h-adic series of differential operators on a fixed Poisson manifold. In the case of linear Poisson structures, the twisted bialgebroid essentially coincides with our construction. Using our explicit description of the Hopf algebroid, we compute the corresponding Drinfeld twist explicitly as a product of two exponential expressions.

deformation quantization ; Hopf algebroid ; noncommutative phase space ; Drinfeld twist ; linear Poisson structure

Projektima HRZZ gore financiran je S.M., dok je Z. Š. (dvije adrese na radu, Sveučilište u Zadru i Sveučilkište Hradec Králové) djelomično financiran samo od projekta 18-00496S Češke zaklade za znanost.

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Podaci o izdanju

14 (026)

2018.

1-23

objavljeno

1815-0659

10.3842/SIGMA.2018.026

Povezanost rada

Matematika, Fizika

Poveznice
Indeksiranost