Irreducible Representations of Jordanian Quantum Algebra ${\cal U}_h(sl(2))$ Via a Nonlinear Map

Details Irreducible Representations of Jordanian Quantum Algebra ${\cal U}_h(sl(2))$ Via a Nonlinear Map Irreducible Representations of Jordanian Quantum Algebra ${\cal U}_h(sl(2))$ Via a Nonlinear Map

1996-06-19

arxiv.org/abs/q-alg/9606014v6

Mod. Phys. Lett. A, Vol. 11 No. 36 (1996) 2883-2891

Mathematics

Quantum Algebra

10 pages, latex-file, references and some comments are added, version to be published in Mod. Phys. Lett

Scientific paper

10.1142/S0217732396002861

The generators of the Jordanian quantum algebra ${\cal U}_h(sl(2))$ are expressed as nonlinear invertible functions of the classical $sl(2)$ generators. This permits immediate explicit construction of the finite dimensional irreducible representations of the algebra ${\cal U}_h(sl(2))$. Using this construction, new finite dimensional solutions of the Yang-Baxter equation may be obtained.

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