The q-deformed boson realisation of the quantum group SU(n)qand its representations
- 7 November 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (21) , L983-L986
- https://doi.org/10.1088/0305-4470/22/21/001
Abstract
The q-deformed boson realisation of the quantum group SU(n)q ((An-1)q) is constructed and certain types of representations of SU(n)q are obtained in the q-deformed Fock space by this boson realisation. The Jimbo representations of the quantum group SU(2)q are given as an example in this letter.Keywords
This publication has 6 references indexed in Scilit:
- Boson realisation of Virasoro and Kac-Moody algebras and their indecomposable representationsJournal of Physics A: General Physics, 1987
- Boson-fermion realisation of indecomposable representations for Lie superalgebrasJournal of Physics A: General Physics, 1987
- Indecomposable generalisations of the standard angular momentum representations of SO(3)Journal of Physics A: General Physics, 1987
- 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