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PreprintCC BY-NC-ND 4.0arXiv

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∈C. The proofs use the known description of ordinary derivations, Laurent polynomials, and coefficient comparisons.

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Cite

BibTeXRIS
BibTeX
@misc{ruzimboev2026local,
  title = {{Local and 2-local derivations of Block Lie algebras B(q)}},
  author = {Jahongir Ruzimboev and Baxtiyor Yusupov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39741},
  eprint = {2610.39741},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39741},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Local and 2-local derivations of Block Lie algebras B(q)
AU  - Jahongir Ruzimboev
AU  - Baxtiyor Yusupov
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39741
UR  - https://arxiv.org/abs/2610.39741
AB  - 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∈C. The proofs use the known description of ordinary derivations, Laurent polynomials, and coefficient comparisons.
ER  -