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• W2749401033 abstract "In this paper, we enumerate lattice paths with certain constraints and apply the corresponding results to develop formulas for calculating the dimensions of submodules of a class of modules for planar upper triangular rook monoids. In particular, we show that the famous Catalan numbers appear as the dimensions of some special modules; we also obtain some combinatorial identities" @default.
• W2749401033 created "2017-08-31" @default.
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• W2749401033 date "2017-08-22" @default.
• W2749401033 modified "2023-09-27" @default.
• W2749401033 title "Lattice Path Enumeration and Its Applications in Representation Theory" @default.
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• W2749401033 hasPublicationYear "2017" @default.
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