S = plueckerAlgebra L
The Pluecker algebra for the Grassmannian is generated by the maximal minors of a generic $k \times n$ matrix of variables. Similarly, for a partial flag variety, the Pluecker algebra is generated by a collection of top-justified minors of a generic matrix of variables.
A matching field specifies a weight order on the ambient ring containing the Pluecker algebra.
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The object plueckerAlgebra is a method function with options.