Results 51 to 60 of about 1,211 (118)
On the algebra generated by μ¯,∂¯,∂,μ\overline{\mu },\overline{\partial },\partial ,\mu
Complex Manifolds, 2023 In this note, we determine the structure of the associative algebra generated by the differential operators μ¯,∂¯,∂\overline{\mu },\overline{\partial },\partial , and μ\mu that act on complex-valued differential forms of almost complex manifolds.
Auyeung Shamuel +2 more
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Note on algebraic Lie algebras [PDF]
Proceedings of the American Mathematical Society, 1971 It is shown that, over an algebraically closed field of characteristic 0, the isomorphism classes of algebraic Lie algebras are in bijective correspondence with the isomorphism classes of affine algebraic groups with unipotent centers. A Lie algebra is said to be algebraic if it is isomorphic with the Lie algebra of an affine algebraic group.
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Noncomplete affine structures on Lie algebras of maximal class
International Journal of Mathematics and Mathematical Sciences, 2002 Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
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Lie algebra expansion and integrability in superstring Sigma-models
Journal of High Energy Physics, 2020 Lie algebra expansion is a technique to generate new Lie algebras from a given one. In this paper, we apply the method of Lie algebra expansion to superstring σ-models with a ℤ4 coset target space.
Andrea Fontanella, Luca Romano
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Lie algebra of an n-Lie algebra
, 2013 We construct the Lie algebra of an n-Lie algebra and we also define the notion of cohomology of an n-Lie algebra.
Bossoto, Basile Guy Richard +2 more
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Free Pre-Lie Algebras are Free as Lie Algebras [PDF]
Canadian Mathematical Bulletin, 2010 AbstractWe prove that the -module PreLie is a free Lie algebra in the category of -modules and can therefore be written as the composition of the -module Lie with a new -module X. This implies that free pre-Lie algebras in the category of vector spaces, when considered as Lie algebras, are free on generators that can be described using X.
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Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration
Forum of Mathematics, SigmaIn this paper, we introduce the notion of post-Hopf algebroids, generalizing the pre-Hopf algebroids introduced in [8] in the study of exotic aromatic S-series. We construct action post-Hopf algebroids through actions of post-Hopf algebras.
Adrien Busnot Laurent +2 more
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The Lie Algebra of Smooth Sections of a T-bundle
International Journal of Industrial Engineering and Production Research, 2006 In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle.
M. Nadjafikhah, H. R. Salimi Moghaddam
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Isomorphism of Intransitive Linear Lie Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We show that formal isomorphism of intransitive linear Lie equations along transversal to the orbits can be extended to neighborhoods of these transversal. In analytic cases, the word formal is dropped from theorems.
Jose Miguel Martins Veloso
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Nuclear Physics B, 2020 We prove that with a (2+1)-dimensional Toda type system are associated algebraic skeletons which are (compatible assemblings) of particle-like Lie algebras of dyons and triadons type.
Marcella Palese, Ekkehart Winterroth
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