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- W1969686332 abstract "A lattice diagram is a finite set $L={(p_1,q_1),... ,(p_n,q_n)}$ of lattice cells in the positive quadrant. The corresponding lattice diagram determinant is $Delta_L(X;Y)=det | x_i^{p_j}y_i^{q_j} |$. The space $M_L$ is the space spanned by all partial derivatives of $Delta_L(X;Y)$. We denote by $M_L^0$ the $Y$-free component of $M_L$. For $mu$ a partition of $n+1$, we denote by $mu/ij$ the diagram obtained by removing the cell $(i,j)$ from the Ferrers diagram of $mu$. Using homogeneous partially symmetric polynomials, we give here a dual description of the vanishing ideal of the space $M_mu^0$ and we give the first known description of the vanishing ideal of $M_{mu/ij}^0$." @default.
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- W1969686332 date "2002-08-01" @default.
- W1969686332 modified "2023-10-12" @default.
- W1969686332 title "Vanishing Ideals of Lattice Diagram Determinants" @default.
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- W1969686332 doi "https://doi.org/10.1006/jcta.2002.3268" @default.
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