Results 41 to 50 of about 168,726 (280)
Journal of Physics: Conference Series, 2021 Abstract In this present paper, we study real Frobenius Lie algebras constructed from non-commutative nilpotent Lie algebras of dimension ≤ 4. The main purpose is to obtain Frobenius Lie algebras of dimension ≤ 6. Particularly, for a given non-commutative nilpotent Lie algebras N of dimension ≤ 4 we show that there exist commutative ...
E Kurniadi, E Carnia, A K Supriatna
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Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2020 The notion of the Schur multiplier of a Lie algebra L was introduced by Batten in 1996. Recently, the first author introduced the concept of the cnilpotent multiplier of a pair of Lie algebras and gave some exact sequences for the c-nilpotent multiplier ...
Arabyani Homayoon +2 more
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A note on the restricted universal enveloping algebra of a restricted Lie-Rinehart Algebra
, 2015 Lie-Rinehart algebras, also known as Lie algebroids, give rise to Hopf algebroids by a universal enveloping algebra construction, much as the universal enveloping algebra of an ordinary Lie algebra gives a Hopf algebra, of infinite dimension.
Schauenburg, Peter
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Известия Иркутского государственного университета: Серия "Математика", 2019 In 1905 I.~Shur pointed out the largest dimension of commutative subgroups in the groups $SL(n,\mathbb{C})$ and proved that for $n>3$ such the subgroups are automorphic to each other.
F.M. Kirillova
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Dimension of the c-nilpotent multiplier of Lie algebras
Proceedings - Mathematical Sciences, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Araskhan, Mehdi +1 more
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Rota-Baxter Operators on 3-Dimensional Lie Algebras and the Classical R-Matrices
Advances in Mathematical Physics, 2017 Our aim is to classify the Rota-Baxter operators of weight 0 on the 3-dimensional Lie algebra whose derived algebra’s dimension is 2. We explicitly determine all Rota-Baxter operators (of weight zero) on the 3-dimensional Lie algebras g.
Linli Wu, Mengping Wang, Yongsheng Cheng
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Hom-Lie Superalgebras in Characteristic 2
Mathematics, 2023 The main goal of this paper was to develop the structure theory of Hom-Lie superalgebras in characteristic 2. We discuss their representations, semidirect product, and αk-derivations and provide a classification in low dimension.
Sofiane Bouarroudj, Abdenacer Makhlouf
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Nilpotent subspaces of maximal dimension in semi-simple Lie algebras [PDF]
Compositio Mathematica, 2006 We show that a linear subspace of a reductive Lie algebra $\operatorname{\mathfrak g}$ that consists of nilpotent elements has dimension at most $\frac{1}{2}(\dim\operatorname{\mathfrak g}-\operatorname{rk}\operatorname{\mathfrak g})$, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel subalgebra of ...
Draisma, Jan +2 more
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On derivations of linear algebras of a special type
Дифференциальная геометрия многообразий фигурIn this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov +2 more
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On even spin W ∞ $$ {\mathcal{W}}_{\infty } $$
Journal of High Energy Physics, 2020 We study the even spin W ∞ $$ {\mathcal{W}}_{\infty } $$ which is a universal W -algebra for orthosymplectic series of W $$ \mathcal{W} $$ -algebras. We use the results of Fateev and Lukyanov to embed the algebra into W 1 + ∞ $$ {\mathcal{W}}_{1+\infty }
Tomáš Procházka
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