Naslov
Hopf algebroid twists for deformation quantization of linear Poisson structures

Autori
Meljanac, Stjepan ; Škoda, Zoran

Izvornik
Symmetry Integrability and Geometry-Methods and Applications (1815-0659) 14 (2018), 026; 1-23

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika

Napomena
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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