Bitableaux and Zero Sets of Dual Canonical Basis Elements
نویسندگان
چکیده
We state new results concerning the zero sets of polynomials belonging to the dual canonical basis of C[x1,1, . . . , xn,n]. As an application, we show that this basis is related by a unitriangular transition matrix to the simpler bitableau basis popularized by Désarménien-Kung-Rota. It follows that spaces spanned by certain subsets of the dual canonical basis can be characterized in terms of products of matrix minors, or in terms of their common zero sets.
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