Ideals generated by superstandard tableaux
نویسندگان
چکیده
We investigate products J of ideals of “row initial” minors in the polynomial ring K [X ] defined by a generic m × n-matrix. The defining “shape” of J determines a set of “row initial” standard bitableaux that we call superstandard. They form a Gröbner basis of J , and J has a linear minimal free resolution. These results are used to derive a new generating set for the Grothendieck group of finitely generated Tm×GLn(K )-equivariant modules over K [X ]. We employ the Knuth–Robinson–Schensted correspondence and a toric deformation of the multi-Rees algebra that parametrizes the ideals J .
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تاریخ انتشار 2015