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arXiv · 2608.12506

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

Liam May·Yong Yang
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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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Liam May, Yong Yang. 2026-08-12. Commuting pairs in symplectic Lie algebras over finite fields of characteristic two. https://arxiv.org/abs/2608.12506

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