Symplecton for Uh(sl(2)) and representations of SLh(2)

DOI10.1063/1.533080zbMath0968.81032arXivmath/9907038OpenAlexW3104479196MaRDI QIDQ4498456

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Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907038

zbMATH Keywords

irreducible tensor operatorsboson creationirreducible representation of \(\text{SL}_h(2)\) dual to \({\mathcal U}_h(\text{sl}(2))\)Jordanian quantum algebra \({\mathcal U}_h(\text{sl}(2))\)Lie algebra \(\text{sl}(2)\)quantum \(h\)-plane

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

JORDANIAN QUANTUM SUPERALGEBRA U_h(osp(2/1))

Cites Work

• The algebra of Weyl symmetrised polynomials and its quantum extension
• Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
• A Hopf star-algebra of polynomials on the quantum \(SL(2,\mathbb{R})\) for a `unitary' \(R\)-matrix
• Quantum matrices in two dimensions
• A \(*\)-product on SL(2) and the corresponding nonstandard quantum- U\(({\mathfrak sl}(2))\)
• The quantum de Rham complexes associated with \(SL_ h(2)\)
• Deformed Yangians and integrable models
• The Jordanian deformation of \(\text{SU}(2)\) and Clebsch-Gordan coefficients
• Nonstandard \(GL_h(n)\) quantum groups and contraction of covariant \(q\)-bosonic algebras
• Drinfeld twist for two-parametric deformation of \(gl(2)\) and \(sl(1/2)\)
• Multiparameter quantum groups and twisted quasitriangular Hopf algebras
• Tensor operators for
• Tensor operators for quantum groups and applications
• On the q-symplecton realization of the quantum group SUq(2)
• Irreducible decomposition for tensor product representations of Jordanian quantum algebras
• Deforming maps for Lie group covariant creation and annihilation operators

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