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

B. Abdesselam; A. Chakrabarti; R. Chakrabarti

doi:10.1142/s0217732396002861

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

B. Abdesselam·A. Chakrabarti·R. Chakrabarti

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Abstract

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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B. Abdesselam, A. Chakrabarti, R. Chakrabarti. 1996-10-27. Irreducible Representations of Jordanian Quantum Algebra ${\cal U}_h(sl(2))$ Via a Nonlinear Map. https://doi.org/10.1142/s0217732396002861

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