Spherical functions on a complex classical quantum group
Welleda Baldoni, Pierluigi Möseneder Frajria (1994)
Compositio Mathematica
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Displaying similar documents to “Harmonic analysis on quantum spheres associated with representations of and -jacobi polynomials”
Spherical functions on a complex classical quantum group
The dynamical quantum group.
Koelink, Erik, van Norden, Yvette (2006)
International Journal of Mathematics and Mathematical Sciences
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A -representation with no quantum symmetric algebra
Olivia Rossi-Doria (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We show by explicit calculations in the particular case of the 4-dimensional irreducible representation of that it is not always possible to generalize to the quantum case the notion of symmetric algebra of a Lie algebra representation.
The double covering of the quantum group
Dijkhuizen, Mathijs S.
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Differential representations of dynamical oscillator symmetries in discrete Hilbert space.
Ruffing, Andreas (2000)
Discrete Dynamics in Nature and Society
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Bar-invariant bases of the quantum cluster algebra of type
Xueqing Chen, Ming Ding, Jie Sheng (2011)
Czechoslovak Mathematical Journal
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We construct bar-invariant -bases of the quantum cluster algebra of the valued quiver , one of which coincides with the quantum analogue of the basis of the corresponding cluster algebra discussed in P. Sherman, A. Zelevinsky: Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Moscow Math. J., 4, 2004, 947–974.