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Enumeration of symplectic and orthogonal injective partial transformations |
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| Authors: | Zhenheng Li |
| Affiliation: | a Department of Mathematical Sciences, University of South Carolina Aiken, Aiken, SC 29801, USA b Department of Mathematics, Xiangtan University, Xiangtan, Hunan 411105, PR China |
| Abstract: | In this paper, we compute the generating function of  , where a is a real number with a≥1. We then use this function to determine the generating functions of the symplectic and orthogonal Renner monoids. Furthermore, we show that these functions are closely related to Laguerre polynomials. |
| Keywords: | Generating function Symplectic Renner monoid Orthogonal Renner monoid Laguerre polynomial |
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