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math.CO2026
Enumeration of Upper Triangular Symplectic Renner Monoids
Reginald Koo, Zhenheng Li
In this paper, we compute the orders of upper triangular symplectic Renner monoids using admissible sets. We obtain both recursive and closed-form formulas for these orders. We the…
math.CO2017
Lattice Path Enumeration and Its Applications in Representation Theory
Jianqiang Feng, Wenli Liu, Ximei Bai +1
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 o…