Results 11 to 20 of about 299,212 (282)
A new kind of soft algebraic structures: bipolar soft Lie algebras
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, basic concepts of soft set theory was mentioned. Then, bipolar soft Lie algebras and bipolar soft Lie ideals were defined with the help of soft sets. Some algebraic properties of the new concepts were investigated. The relationship between
F. Çıtak
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Generalized geometric Lie algebra and its research
上海师范大学学报. 自然科学版, 2023 In order to explore the general extension meanings of Lie algebra， the generalized geometric Lie bracket and generalized geometric Lie algebra are constructed and their related properties are studied， containing Lie algebra as a special case.
WANG Gen, LIANG Yuxia
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Profinite just infinite residually solvable Lie algebras [PDF]
International Journal of Group Theory, 2023 We provide some characterization theorems about just infinite profinite residually solvable Lie algebras, similarly to what C. Reid has done for just infinite profinite groups.
Dario Villanis Ziani
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Levi Decomposition of Frobenius Lie Algebra of Dimension 6
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 In this paper, we study notion of the Lie algebra of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
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Omni-Lie 2-algebras and their Dirac structures [PDF]
, 2011 We introduce the notion of omni-Lie 2-algebra, which is a categorification of Weinstein's omni-Lie algebras. We prove that there is a one-to-one correspondence between strict Lie 2-algebra structures on 2-sub-vector spaces of a 2-vector space $\V$ and ...
Baez +14 more
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Elementary Lie algebras and Lie A-algebras
Journal of Algebra, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Towers, David A., Varea, Vicente R.
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Czechoslovak Journal of Physics, 1997 We introduce anyonic Lie algebras in terms of structure constants. We provide the simplest examples and formulate some open problems.
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Post-Lie algebras in Regularity Structures
Forum of Mathematics, Sigma, 2023 In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra.
Yvain Bruned, Foivos Katsetsiadis
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Differential algebraic Lie algebras [PDF]
Transactions of the American Mathematical Society, 1979 A class of infinite-dimensional Lie algebras over the field K \mathcal {K} of constants of a universal differential field U \mathcal {U} is studied. The simplest case, defined by homogeneous linear differential equations, is analyzed in detail, and those with underlying set
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Generalized Reynolds Operators on Lie-Yamaguti Algebras
Axioms, 2023 In this paper, the notion of generalized Reynolds operators on Lie-Yamaguti algebras is introduced, and the cohomology of a generalized Reynolds operator is established.
Wen Teng, Jiulin Jin, Fengshan Long
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