scientific article; zbMATH DE number 837821
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Publication:4863730
zbMath0872.17013MaRDI QIDQ4863730
Publication date: 15 October 1997
Full work available at URL: http://www.numdam.org/item?id=CM_1995__99_3_249_0
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- The Capelli identity, the double commutant theorem, and multiplicity-free actions
- Quantum 2-spheres and big q-Jacobi polynomials
- Differential calculus on quantum spheres
- Askey-Wilson polynomials and the quantum group \(SU_ q(2)\)
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Quantum R matrix for the generalized Toda system
- Compact matrix pseudogroups
- Quantum spheres
- Quantum deformations of certain simple modules over enveloping algebras
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\)
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Rogers's \(q\)-ultraspherical polynomials on a quantum \(2\)-sphere
- Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
- A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity
- Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras
- Erratum to "Remarks on Classical Invariant Theory"
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- KILLING FORMS, HARISH-CHANDRA ISOMORPHISMS, AND UNIVERSAL R-MATRICES FOR QUANTUM ALGEBRAS
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