A group theoretic description of the κ-Poincaré Hopf algebra
It is well known in the literature that the momentum space associated to the κ-Poincaré algebra is described by the Lie group AN(3). In this letter we show that the full κ-Poincaré Hopf algebra structure can be obtained from rather straightforward group-theoretic manipulations starting from the Iwas...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322006694 |
| _version_ | 1797987792511303680 |
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| author | Michele Arzano Jerzy Kowalski-Glikman |
| author_facet | Michele Arzano Jerzy Kowalski-Glikman |
| author_sort | Michele Arzano |
| collection | DOAJ |
| description | It is well known in the literature that the momentum space associated to the κ-Poincaré algebra is described by the Lie group AN(3). In this letter we show that the full κ-Poincaré Hopf algebra structure can be obtained from rather straightforward group-theoretic manipulations starting from the Iwasawa decomposition of the SO(1,4) group. |
| first_indexed | 2024-04-11T07:53:46Z |
| format | Article |
| id | doaj.art-73c561bc71194618953fe9b4e6b029c4 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-11T07:53:46Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-73c561bc71194618953fe9b4e6b029c42022-12-22T04:36:00ZengElsevierPhysics Letters B0370-26932022-12-01835137535A group theoretic description of the κ-Poincaré Hopf algebraMichele Arzano0Jerzy Kowalski-Glikman1Dipartimento di Fisica “E. Pancini”, Università di Napoli Federico II, I-80125 Napoli, Italy; INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126 Napoli, ItalyUniversity of Wrocław, Faculty of Physics and Astronomy, Maksa Borna 9, 50-204 Wrocław, Poland; National Centre for Nuclear Reserach, Pasteura 7, 02-093 Warsaw, Poland; Corresponding author.It is well known in the literature that the momentum space associated to the κ-Poincaré algebra is described by the Lie group AN(3). In this letter we show that the full κ-Poincaré Hopf algebra structure can be obtained from rather straightforward group-theoretic manipulations starting from the Iwasawa decomposition of the SO(1,4) group.http://www.sciencedirect.com/science/article/pii/S0370269322006694 |
| spellingShingle | Michele Arzano Jerzy Kowalski-Glikman A group theoretic description of the κ-Poincaré Hopf algebra Physics Letters B |
| title | A group theoretic description of the κ-Poincaré Hopf algebra |
| title_full | A group theoretic description of the κ-Poincaré Hopf algebra |
| title_fullStr | A group theoretic description of the κ-Poincaré Hopf algebra |
| title_full_unstemmed | A group theoretic description of the κ-Poincaré Hopf algebra |
| title_short | A group theoretic description of the κ-Poincaré Hopf algebra |
| title_sort | group theoretic description of the κ poincare hopf algebra |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322006694 |
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