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arXiv · 2610.39741

Local and 2-local derivations of Block Lie algebras B(q)

Jahongir Ruzimboev·Baxtiyor Yusupov
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Abstract

We prove that every local or 2-local derivation of the Block Lie algebra $\B(q)$, with both basis indices in $\Z$, is a derivation for all $q\in\C$. The proofs use the known description of ordinary derivations, Laurent polynomials, and coefficient comparisons.

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Jahongir Ruzimboev, Baxtiyor Yusupov. 2026-10-29. Local and 2-local derivations of Block Lie algebras B(q). https://arxiv.org/abs/2610.39741

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