Infinite-presentation conjecture for the Fibonacci restricted Lie algebra

Let p=2p=2 and let L=Liep(v1,v2)\mathbf L=\operatorname{Lie}_p(v_1,v_2) be the Fibonacci restricted Lie algebra. Infinite-presentation conjecture. The algebra L\mathbf L is infinitely presented. The claim was previously suggested in the cited literature, while the paper reports related homological results establishing infinite presentability for the ordinary Fibonacci Lie algebra and a related just-infinite self-similar Lie algebra.

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Primary source

Victor Petrogradsky, “Fibonacci Lie algebra revisited”, arXiv:2410.08832 (2024).

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