Le Dinh Nam: Multiplicity of algebras of minors of extended Hankel matrices, p.245-260

Abstract:

In this paper we give a formula to determine the multiplicity of the algebras $A_t$ of minors of an extended Hankel matrix. The multiplicity of $A_t$ coincides with the number of facets of a simplicial complex $\Delta_t$. The facets of $\Delta_t$ are related to skew tableaux and we may express the multiplicity of $A_t$ as a sum of the number $f^{\lambda/\mu}$ of standard skew tableaux of shape ${\lambda/\mu}$ for certain $\lambda$ and $\mu$.

Key Words: Multiplicity, determinantal ideal, extended Hankel matrix.

2000 Mathematics Subject Classification: Primary: 13C40;
Secondary: 14M12.

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