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Tableaux statistics for two part Macdonald polynomials
Please use this identifier to cite or link to this item:
http://hdl.handle.net/1860/1939
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| Title: | Tableaux statistics for two part Macdonald polynomials |
| Authors: | Morse, Jennifer
Lapointe, Luc |
| Issue Date: | 1-Dec-1998 |
| Citation: | Retrieved November 2, 2007 from http://xxx.lanl.gov/find/grp_math/1/au:+Morse_J/0/1/0/all/0/1. |
| Abstract: | The Macdonald polynomials expanded in terms of a modified
Schur function basis have coefficients called the q, t-Kostka polynomials. We
define operators to build standard tableaux and show that they are equivalent
to creation operators that recursively build the Macdonald polynomials
indexed by two part partitions. We uncover a new basis for these particular
Macdonald polynomials and in doing so are able to give an explicit description
of their associated q, t-Kostka coefficients by assigning a statistic in q and t to
each standard tableau. |
| URI: | http://lanl.arxiv.org/abs/math/9812001v1
http://hdl.handle.net/1860/1939 |
| Appears in Collections: | Faculty Research and Publications (Mathematics)
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