Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan–Schwinger map
The aim of this paper is to show that there is a Hopf structure of the parabosonic and parafermionic algebras and this Hopf structure can generate the well-known Hopf algebraic structure of the Lie algebras, through a realization of Lie algebras using the parabosonic (and parafermionic) extension of...
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| Veröffentlicht in: | Journal of mathematical physics 2000-02, Vol.41 (2), p.652-660 |
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| container_end_page | 660 |
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| container_start_page | 652 |
| container_title | Journal of mathematical physics |
| container_volume | 41 |
| creator | Daskaloyannis, C. Kanakoglou, K. Tsohantjis, I. |
| description | The aim of this paper is to show that there is a Hopf structure of the parabosonic and parafermionic algebras and this Hopf structure can generate the well-known Hopf algebraic structure of the Lie algebras, through a realization of Lie algebras using the parabosonic (and parafermionic) extension of the Jordan–Schwinger map. The differences between the Hopf algebraic and the graded Hopf superalgebraic structure on the parabosonic algebra are discussed. |
| doi_str_mv | 10.1063/1.533157 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 2000-02, Vol.41 (2), p.652-660 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_1_533157 |
| source | AIP Digital Archive; AIP Journals (American Institute of Physics) |
| title | Hopf algebraic structure of the parabosonic and parafermionic algebras and paraparticle generalization of the Jordan–Schwinger map |
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