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Commuting pairs in symplectic Lie algebras over finite fields of characteristic two

Authors: Liam May and Yong YangPublished: 2026-08-12Paper ID: 2608.12506Category: math.GRLicense: CC0 1.0

Abstract

We find a generating function for the number of ordered commuting pairs of elements in a symplectic Lie algebra over a finite field of characteristic $2$, following the analogous work done in odd characteristic in Fulman and Guralnick (arXiv:1611.05499).

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