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

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.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.39741
Primary Topic
Advanced Topics in Algebra
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

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

Baxtiyor Yusupov, Jahongir Ruzimboev
arXiv (Cornell University)
Advanced Topics in Algebra
preprint

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

Baxtiyor Yusupov, Jahongir Ruzimboev
preprint en

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.

arXiv (Cornell University)
Advanced Topics in Algebra
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Local and 2-local derivations of Block Lie algebras B(q) — Baxtiyor Yusupov, Jahongir Ruzimboev · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS