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» A Macdonald Vertex Operator and Standard Tableaux Statistics
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COMBINATORICS
1998
61views more  COMBINATORICS 1998»
13 years 4 months ago
A Macdonald Vertex Operator and Standard Tableaux Statistics
On donnera une formule pour l’op´erateur Hqt 2 avec la propri´et´e que Hqt 2 H(2a1b)[X; q, t] = H(2a+11b)[X; q, t] avec les fonctions sym´etriques Hµ[X; q, t] = λ Kλµ(q,...
Mike Zabrocki
COMBINATORICS
1999
100views more  COMBINATORICS 1999»
13 years 4 months ago
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 ...
Mike Zabrocki