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κ-Deformed Phase Space, Hopf Algebroid and Twisting
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- Фізико-технічні та математичні науки
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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κ-Deformed Phase Space, Hopf Algebroid and Twisting
Інший ID:
2010 Mathematics Subject Classification: 81R60; 17B37; 81R50
DOI:10.3842/SIGMA.2014.106
DOI:10.3842/SIGMA.2014.106
Посилання:
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.
Підтримка:
This paper is a contribution to the Special Issue on Deformations of Space-Time and its Symmetries. The
full collection is available at http://www.emis.de/journals/SIGMA/space-time.html.
The authors would like to thank A. Borowiec, J. Lukierski, A. Pachol, R. Strajn and Z. ˇ Skoda for ˇ
useful discussions and comments. The authors would also like to thank the anonymous referee
for useful comments and suggestions.
Дата:
2014
Переглядів:
606
Завантажень:
334
Анотація:
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 of twist is analyzed for κ-deformed phase space in Hopf algebroid setting. It is outlined how the twist in the Hopf algebroid setting reproduces the full Hopf algebra structure of κ-Poincaré algebra. Several examples of realizations are worked out in details.
