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

Liam May, Yong Yang

math.GRarXiv:2608.12506

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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