Universal T-matrix, representations of OSpq(1∕2) and little Q-Jacobi polynomials

DOI10.1063/1.2399360zbMath1112.81049arXivmath/0607566OpenAlexW2069396479MaRDI QIDQ3442145

No author found.

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0607566

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Groups and algebras in quantum theory and relations with integrable systems (81R12) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Cites Work

• Unnamed Item
• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions
• Compact matrix pseudogroups
• Contraction of quantum algebras and \(q\) oscillators
• Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
• Gauss decomposition for quantum groups and supergroups
• Integrable quantum field theories with supergroup symmetries: the OSP(1/2) case
• Quantum super spheres and their transformation groups, representations, and little \(t\)-Jacobi polynomials
• The dual of a quantum group
• Algebra of functions on the quantum group SU(2)
• On the Hopf structure of \(U_{p,q}(\text{gl}(1| 1))\) and the universal \(\mathcal{T}\)-matrix of \(\text{Fun}_{p,q}(\text{GL}(1| 1))\)
• Creation operators and Bethe vectors of the osp(1|2) Gaudin model
• Quantum spheres for OSpq(1∕2)
• Twist deformation of the rank-one Lie superalgebra
• On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra U q(su2)
• Duality for the matrix quantum group GLp,q(2,C)
• ON JORDANIAN U_h,α(gl(2)) ALGEBRA AND ITS T MATRICES VIA A CONTRACTION METHOD
• SPECTRUM GENERATING QUANTUM GROUP OF THE HARMONIC OSCILLATOR
• Representation functions for Jordanian quantum groupSL_h(2) and Jacobi polynomials
• Noncommutative geometry of super-Jordanian OSph(2/1) covariant quantum space
• Finite-dimensional representations of the quantum group GL_p,q(2) using the exponential map from U_p,q(gl(2))
• Properties of Clebsch-Gordan coefficients and 3-j symbols for the quantum superalgebra U_q(osp(1 mod 2))
• Generalized boson algebra and its entangled bipartite coherent states
• JORDANIAN QUANTUM SUPERALGEBRA U_h(osp(2/1))
• BASIC TWIST QUANTIZATION OF osp(1|2) AND κ-DEFORMATION OF D = 1 SUPERCONFORMAL MECHANICS

This page was built for publication: Universal T-matrix, representations of OSpq(1∕2) and little Q-Jacobi polynomials