κ-Deformed Phase Space, Hopf Algebroid and Twisting

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2014
• Автори: Jurić, T., Kovačević, D., Meljanac, S.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2014
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146538
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...