PreprintCC BY-NC-ND 4.0arXiv
Local superderivations of Block Lie superalgebras S(q)
Abstract
We prove that every even or odd local superderivation of the Block Lie superalgebra S(q) is a superderivation for every q∈ℂ, with both basis indices ranging over ℤ. The superderivations used in the local condition have the same parity as the map. The proofs use the known description of homogeneous superderivations, bracket computations, and coefficient comparisons.
Related
- Local (Anti-)Superderivations on Nilpotent Lie Superalgebras
- Derivations and quasi-derivations of Block Lie superalgebras S(q)
- Local and 2-local derivations of Block Lie algebras B(q)
- The 3-adic Steinberg block and a categorical 3-adic local Langlands correspondence for GL2(ℚ3)
- Dobb: Shard-Local Preconditioning in Block-Diagonal Eigenbases
BibTeX
@misc{ruzimboev2026local,
title = {{Local superderivations of Block Lie superalgebras $S(q)$}},
author = {Jakhongir Ruzimboev and Bakhtiyor B. Yusupov},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01137},
eprint = {2611.01137},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01137},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Local superderivations of Block Lie superalgebras S(q)
AU - Jakhongir Ruzimboev
AU - Bakhtiyor B. Yusupov
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01137
UR - https://arxiv.org/abs/2611.01137
AB - We prove that every even or odd local superderivation of the Block Lie superalgebra S(q) is a superderivation for every q∈ℂ, with both basis indices ranging over ℤ. The superderivations used in the local condition have the same parity as the map. The proofs use the known description of homogeneous superderivations, bracket computations, and coefficient comparisons.
ER -