Cohomology of Restricted Filiform Lie Algebras mλ₂(p)
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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2019 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210293 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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. We explicitly describe bases for the ordinary and restricted 1- and 2-cohomology spaces with trivial coefficients, and give formulas for the bracket and [p]-operations in the corresponding restricted one-dimensional central extensions.
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| ISSN: | 1815-0659 |