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Article Dans Une Revue Advances in Applied Mathematics Année : 2002

Lattice Diagram polynomials in one set of variables

Résumé

The space $M_{\mu/i,j}$ spanned by all partial derivatives of the lattice polynomial $\Delta_{\mu/i,j}(X;Y)$ is investigated in math.CO/9809126 and many conjectures are given. Here, we prove all these conjectures for the $Y$-free component $M_{\mu/i,j}^0$ of $M_{\mu/i,j}$. In particular, we give an explicit bases for $M_{\mu/i,j}^0$ which allow us to prove directly the central {\sl four term recurrence} for these spaces.

Dates et versions

hal-00185464 , version 1 (06-11-2007)

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Jean-Christophe Aval, Francois Bergeron, Nantel Bergeron. Lattice Diagram polynomials in one set of variables. Advances in Applied Mathematics, 2002, 28, pp.343-359. ⟨hal-00185464⟩
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