Mathematics – Combinatorics
Scientific paper
2001-07-21
J. Combin. Theory Ser. A 99 (2002), no. 2, 244-260.
Mathematics
Combinatorics
15 pages, 3 figures (LaTeX2e with epsfig). A nice description of ideals for lattice diagrams
Scientific paper
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 $M_{\mu/ij}^0$.
Aval Jean-Christophe
Bergeron Nantel
No associations
LandOfFree
Vanishing ideals of Lattice Diagram determinants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Vanishing ideals of Lattice Diagram determinants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vanishing ideals of Lattice Diagram determinants will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-521271