κ-Deformed Phase Space, Hopf Algebroid and Twisting

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• ISSN: 1815-0659
• Main Authors: Jurić, T., Kovačević, D., Meljanac, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146538
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: κ-Deformed Phase Space, Hopf Algebroid and Twisting / T. Jurić, D. Kovačević, S. Meljanac // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 65 назв. — англ.

Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure. We use the dual base to construct the target map and antipode. The notion o...