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PreprintarXiv licencearXiv

BV structure on the Hochschild cohomology of Liu-Schulz algebras in characteristic two

Abstract

Let K be a field of characteristic $2$, let ρ∈ K×, and let Rρ be the corresponding Liu-Schulz algebra. We give a complete description of the Gerstenhaber bracket and the BV structure on the Hochschild cohomology ring HH*(Rρ).

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BibTeX
@misc{tursunbaev2026structure,
  title = {{BV structure on the Hochschild cohomology of Liu-Schulz algebras in characteristic two}},
  author = {Artur Tursunbaev},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36277},
  eprint = {2610.36277},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36277},
}
RIS
TY  - UNPB
TI  - BV structure on the Hochschild cohomology of Liu-Schulz algebras in characteristic two
AU  - Artur Tursunbaev
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.36277
UR  - https://arxiv.org/abs/2610.36277
AB  - Let K be a field of characteristic $2$, let ρ∈ K^×, and let R_ρ be the corresponding Liu-Schulz algebra. We give a complete description of the Gerstenhaber bracket and the BV structure on the Hochschild cohomology ring HH^*(R_ρ).
ER  -