Zonal spherical functions on quantum symmetric spaces and MacDonald's symmetric polynomials
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 A2 type. Some q-analogues of hypergeometric series associated with the quantum symmetric spaces will be discussed.
Key words and phrasesZonal spherical functions quantum symmetric spaces Macdonald's symmetric polynomials
Unable to display preview. Download preview PDF.