Macdonald Polynomials |
Purpose: This page is to make available some of
the resources and results associated to the symmetric functions known as
Macdonald polynomials (for the most part, type A only). There are some
fantastic conjectures and results discovered all the time associated to
this field and my main direction of interest is from their combinatorial
perspective. This hardly does them justice since there is a strong
interest from a wide range of fields such as algebraic geometry, representation
theory, mathematical physics, etc.
What's new?: I placed programs to compute ribbon operators and the ribbon rule in the Maple section. (11/5/01) There is a graphical explanation of the statistics by Garsia and Haglund for the q,t-Catalan numbers. (9/7/00). |
This web page is maintained by Mike Zabrocki. Contibutions are welcome (encouraged). Send me Maple packages, expositions, open problems, tools that you have for studying Macdonald Polynomials, notes on Macdonald, Hall-Littlewood, Jack symmetric functions and I will publish them to this site.
Mike Zabrocki
York University
Web page: http://www.math.yorku.ca/~zabrocki
email: