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Please use this identifier to cite or link to this item: http://hdl.handle.net/1860/1939

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
Appears in Collections:Faculty Research and Publications (Mathematics)

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