κ-Deformed Phase Space, Hopf Algebroid and Twisting
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
κ-Deformed Phase Space, Hopf Algebroid and Twisting
|
|
| Creator |
Jurić, T.
Kovačević, D. Meljanac, S. |
|
| Description |
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.
|
|
| Date |
2019-02-09T20:58:50Z
2019-02-09T20:58:50Z 2014 |
|
| Type |
Article
|
|
| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 81R60; 17B37; 81R50 DOI:10.3842/SIGMA.2014.106 http://dspace.nbuv.gov.ua/handle/123456789/146538 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|