4 citations · 13 across the 8 of their papers we have counts for
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math.CO2017★ 1 cited
Parabolic Catalan numbers count flagged Schur functions and their appearances as type A Demazure characters (key polynomials)
Robert A. Proctor, Matthew J. Willis
Fix an integer partition lambda that has no more than n parts. Let beta be a weakly increasing n-tuple with entries from {1,..,n}. The flagged Schur function indexed by lambda and…
math.CO2017★ 2 cited
Convexity of tableau sets for type A Demazure characters (key polynomials), parabolic Catalan numbers
Robert A. Proctor, Matthew J. Willis
This is the first of three papers that develop structures which are counted by a "parabolic" generalization of Catalan numbers. Fix a subset R of {1,..,n-1}. Consider the ordered p…
math.CO2017★ 2 cited
Row bounds needed to justifiably express flagged Schur functions with Gessel-Viennot determinants
Robert A. Proctor, Matthew J. Willis
Let be a partition with no more than parts. Let be a weakly increasing -tuple with entries from . The flagged Schur function in the variables $x_1,…