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n=3 diferential calculus on a given reduced quantum plane and gauge theory
We discuss the algebra of $N\times N$ matrices that seems to be as a reduced quantum plane. A new deformed differential calculus involving a complex parameter $q$ is introduced. The two cases, $q$ generic and $q$ $N-$th root of unity are completely treated. As an application, we give a connection wi...
| Autores principales: | , , , |
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| Lenguaje: | eng |
| Publicado: |
2002
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/644268 |
| _version_ | 1780900800943357952 |
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| author | Elbaz, M El Hassouni, A Hassouni, Y Zakkari, E H |
| author_facet | Elbaz, M El Hassouni, A Hassouni, Y Zakkari, E H |
| author_sort | Elbaz, M |
| collection | CERN |
| description | We discuss the algebra of $N\times N$ matrices that seems to be as a reduced quantum plane. A new deformed differential calculus involving a complex parameter $q$ is introduced. The two cases, $q$ generic and $q$ $N-$th root of unity are completely treated. As an application, we give a connection with gauge field theory for the particular cases $n=2$ and $n=3.$ |
| id | cern-644268 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2002 |
| record_format | invenio |
| spelling | cern-6442682019-09-30T06:29:59Zhttp://cds.cern.ch/record/644268engElbaz, MEl Hassouni, AHassouni, YZakkari, E Hn=3 diferential calculus on a given reduced quantum plane and gauge theoryXXWe discuss the algebra of $N\times N$ matrices that seems to be as a reduced quantum plane. A new deformed differential calculus involving a complex parameter $q$ is introduced. The two cases, $q$ generic and $q$ $N-$th root of unity are completely treated. As an application, we give a connection with gauge field theory for the particular cases $n=2$ and $n=3.$IC-2002-111oai:cds.cern.ch:6442682002 |
| spellingShingle | XX Elbaz, M El Hassouni, A Hassouni, Y Zakkari, E H n=3 diferential calculus on a given reduced quantum plane and gauge theory |
| title | n=3 diferential calculus on a given reduced quantum plane and gauge theory |
| title_full | n=3 diferential calculus on a given reduced quantum plane and gauge theory |
| title_fullStr | n=3 diferential calculus on a given reduced quantum plane and gauge theory |
| title_full_unstemmed | n=3 diferential calculus on a given reduced quantum plane and gauge theory |
| title_short | n=3 diferential calculus on a given reduced quantum plane and gauge theory |
| title_sort | n=3 diferential calculus on a given reduced quantum plane and gauge theory |
| topic | XX |
| url | http://cds.cern.ch/record/644268 |
| work_keys_str_mv | AT elbazm n3diferentialcalculusonagivenreducedquantumplaneandgaugetheory AT elhassounia n3diferentialcalculusonagivenreducedquantumplaneandgaugetheory AT hassouniy n3diferentialcalculusonagivenreducedquantumplaneandgaugetheory AT zakkarieh n3diferentialcalculusonagivenreducedquantumplaneandgaugetheory |