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Enumeration of Upper Triangular Symplectic Renner Monoids
Reginald Koo, Zhenheng Li
Source abstract
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 then derive their exponential generating functions and establish connections between these functions and the Laguerre polynomials.
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