Cohomology of Restricted Filiform Lie Algebras mλ₂(p)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Evans, T.J., Fialowski, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210293
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Cohomology of Restricted Filiform Lie Algebras mλ₂(p) / T.J. Evans, A. Fialowski // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 15 назв. — англ.

For the p-dimensional filiform Lie algebra m₂(p) over a field F of prime characteristic p≥5 with nonzero Lie brackets [e₁,eᵢ]=eᵢ₊₁ for 1 < i < p and [e₂,eᵢ]=eᵢ₊₂ for 2 < i < p − 1, we show that there is a family mλ₂(p) of restricted Lie algebra structures parameterized by elements λ ∈ 𝔽ᵖ...