Abstract
We will study zonal spherical functions on quantum symmetric space GL q (N+1)/O q (N+1)), and will show that those for the case N=2 are given by Macdonald's polynomials of the A 2 type. Some q-analogues of hypergeometric series associated with the quantum symmetric spaces will be discussed.
Key words and phrases
- Zonal spherical functions
- quantum symmetric spaces
- Macdonald's symmetric polynomials
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References
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© 1992 Springer-Verlag
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Ueno, K., Takebayashi, T. (1992). Zonal spherical functions on quantum symmetric spaces and MacDonald's symmetric polynomials. In: Kulish, P.P. (eds) Quantum Groups. Lecture Notes in Mathematics, vol 1510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101186
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DOI: https://doi.org/10.1007/BFb0101186
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55305-2
Online ISBN: 978-3-540-47020-5
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