Hopf algebroid twists for deformation quantization of linear Poisson structures (CROSBI ID 228164)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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.
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
14 (026)
2018.
1-23
objavljeno
1815-0659
10.3842/SIGMA.2018.026