A new “dinv” arising from the two part case of the shuffle conjecture

    Journal of Algebraic Combinatorics, Volume 37, Issue 4, 2012.

    Cited by: 6|Bibtex|Views1|Links
    Keywords:
    Symmetric functionsMacdonald polynomialsParking functions

    Abstract:

    For a symmetric function , the eigen-operator Δ acts on the modified Macdonald basis of the ring of symmetric functions by . In a recent paper (Int. Math. Res. Not. 11:525–560, ), J. Haglund showed that the expression ,-enumerates the parking functions whose diagonal word is in the shuffle 12⋯∪∪+1⋯+ with of the cars +1,…,+ in the main d...More

    Code:

    Data:

    Your rating :
    0

     

    Tags
    Comments