Hopf Algebroid Twists for Deformation Quantization of Linear Poisson Structures

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Meljanac, S., Škoda, Z.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209438
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hopf Algebroid Twists for Deformation Quantization of Linear Poisson Structures / S. Meljanac, Z. Škoda // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 25 назв. — англ.

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...