Positivity for special cases of (q, t)-Kostka coefficients and standard tableaux statistics

We present two symmetric function operators Hqt 3 and Hqt 4 that have the property Hqt mH(2a1b)(X; q, t) = H(m2a1b)(X; q, t). These operators are generalizations of the analogous operator Hqt 2 and also have expressions in terms of Hall-Littlewood vertex operators. We also discuss statistics, a

• Type: Journal
• Year: 1999
• Where: COMBINATORICS
• Authors: Mike Zabrocki
• Keywords: COMBINATORICS 1999, Operator, Standard Tableaux, Symmetric Function Operators