The dynamical \(U(n)\) quantum group
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Publication:2468991
DOI10.1155/IJMMS/2006/65279zbMath1163.17016arXivmath/0508168MaRDI QIDQ2468991
Yvette van Norden, H. T. Koelink
Publication date: 1 February 2008
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0508168
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
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Cites Work
- On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\)
- Duality and self-duality for dynamical quantum groups
- Pairings and actions for dynamical quantum groups
- Askey-Wilson polynomials and the quantum group \(SU_ q(2)\)
- Groups of algebras over \(A\otimes \bar A\)
- Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
- CQG algebras: A direct algebraic approach to compact quantum groups
- Elliptic U(2) quantum group and elliptic hypergeometric series
- Vertex-IRF transformations, dynamical quantum groups and harmonic analysis
- Bialgebroids, \(\times_A\)-bialgebras and duality
- Exchange dynamical quantum groups
- Some remarks on the construction of quantum symmetric spaces
- Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
- Quantum zonal spherical functions and Macdonald polynomials
- A quasi-Hopf algebra interpretation of quantum \(3\)-\(j\) and \(6\)-\(j\) symbols and difference equations
- Askey-Wilson polynomials and the quantum \(\text{SU} (2)\) group: Survey and applications
- A family of quantum projective spaces and related $q$-hypergeometric orthogonal polynomials
- Twisted Yang - Baxter equations for linear quantum (super)groups
- An infinite product formula forUq(sl(2)) dynamical coboundary element
- Hecke algebraic properties of dynamical R -matrices. Application to related quantum matrix algebras
- HOPF ALGEBROIDS AND QUANTUM GROUPOIDS
- Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group
- vector valued spherical functions and macdonald–koornwinder polynomials
- Quantum groupoids
- Harmonic analysis on the \(\text{SU}(2)\) dynamical quantum group
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