SUq,h(cross) to 0(2) and SUq,h(cross)(2), the classical and quantum q-deformations of the SU(2) algebra. III. When q is a root of unity
- 7 April 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (7) , 1427-1434
- https://doi.org/10.1088/0305-4470/24/7/017
Abstract
For pt.II see ibid., vol.23, p.5371 (1990). The q-oscillator of type one and the classical and the quantum q-deformations of SU(2) algebra realized through the q-oscillators are studied in the case of q being roots of unity, i.e. qk=1. The q-excitations are found to be non-bosonic. In particular, when k is of rank 4 and 6, the q-excitations are shown to be fermionic and parafermionic respectively.Keywords
This publication has 14 references indexed in Scilit:
- SUq,h(cross) to 0(2) and SUq,h(cross)(2), the classical and quantum q-deformations of the SU(2) algebra. II. The Hopf algebra, the Yang-Baxter equation and multi-deformed algebraic structuresJournal of Physics A: General Physics, 1990
- Non-Bosonic Excitations in q -Oscillator System for q a Root of UnityCommunications in Theoretical Physics, 1990
- SUq.0(2) and SUq.(2), the classical and quantum q-deformations of the SU(2) algebraJournal of Physics A: General Physics, 1990
- Comment on the q-analogues of the harmonic oscillatorJournal of Physics A: General Physics, 1990
- Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebrasCommunications in Mathematical Physics, 1990
- On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)qJournal of Physics A: General Physics, 1989
- The quantum group SUq(2) and a q-analogue of the boson operatorsJournal of Physics A: General Physics, 1989
- QuantumR matrix for the generalized Toda systemCommunications in Mathematical Physics, 1986
- A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equationLetters in Mathematical Physics, 1986
- Aq-difference analogue of U(g) and the Yang-Baxter equationLetters in Mathematical Physics, 1985