Timeline for universality of Macdonald polynomials
Current License: CC BY-SA 3.0
3 events
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| Feb 12, 2012 at 18:54 | comment | added | John Jiang | the only ones that have the restriction property. i,e., $P_\lambda(x_1, \ldots, x_{n-1}, 0) = P_\lambda(x_1,\ldots, x_{n-1})$. Does that characterize them? | |
| Feb 12, 2012 at 18:53 | comment | added | John Jiang | Hi Christian, Thank you for your detailed reply. Yes I was indeed aware of this characterization of Macdonald Polynomials. In fact the Markov chain interpretation of Macdonald polynomials uses this inner product in a crucial way. I guess my original question can be rephrased to mean whether this $(q,t)$-family is in some sense universal. I understand that in the literature people have only succeeded in generalizing MacD polynomials to inhomogeneous or asymmetric directions. So somehow this is the end of the story? But why? Another thought I had was that maybe MacD polynomials were | |
| Feb 11, 2012 at 20:07 | history | answered | Christian Stump | CC BY-SA 3.0 |