Results 1 to 10 of about 2,193,828 (220)
Post-Lie algebra structures for perfect Lie algebras. [PDF]
Commun Algebra, 2023 We study the existence of post-Lie algebra structures on pairs of Lie algebras (g,n), where one of the algebras is perfect non-semisimple, and the other one is abelian, nilpotent non-abelian, solvable non-nilpotent, simple, semisimple non-simple ...
Burde D, Dekimpe K, Monadjem M.
europepmc +9 more sources
Post-Lie algebra structures for nilpotent Lie algebras [PDF]
International Journal of Algebra and Computation, 2018 We study post-Lie algebra structures on [Formula: see text] for nilpotent Lie algebras. First, we show that if [Formula: see text] is nilpotent such that [Formula: see text], then also [Formula: see text] must be nilpotent, of bounded class. For post-Lie
D. Burde, C. Ender, W. Moens
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On the Lie Enveloping Algebra of a Post-Lie Algebra
Journal of Lie Theory, 2014 We consider pairs of Lie algebras $g$ and $\bar{g}$, defined over a common vector space, where the Lie brackets of $g$ and $\bar{g}$ are related via a post-Lie algebra structure. The latter can be extended to the Lie enveloping algebra $U(g)$.
K. Ebrahimi-Fard +2 more
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Isomorphism of Intransitive Linear Lie Equations [PDF]
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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Universal Algebra of a Hom-Lie Algebra and group-like elements [PDF]
, 2015 We construct the universal enveloping algebra of a Hom-Lie algebra and endow it with a Hom-Hopf algebra structure.
Laurent-Gengoux, Camille +2 more
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Dual formulation of the Lie algebra S-expansion procedure [PDF]
Journal of Mathematical Physics, 2009 The expansion of a Lie algebra entails finding a new bigger algebra G through a series of well-defined steps from an original Lie algebra g. One incarnation of the method, the so-called S-expansion, involves the use of a finite Abelian semigroup S to ...
Fernando Izaurieta +2 more
exaly +2 more sources
Quantum scars as embeddings of weakly broken Lie algebra representations [PDF]
Physical review B, 2020 Recently, much effort has focused on understanding weak ergodicity breaking in many-body quantum systems that could lead to wavefunction revivals in their dynamics far from equilibrium.
Kieran Bull +2 more
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Lie-Algebra of Single-Valued Pentapartitioned Neutrosophic Set [PDF]
Neutrosophic Sets and Systems, 2022 In this article, we procure the concept of single-valued pentapartitioned neutrosophic Lie (in short SVPN-Lie) algebra under single-valued pentapartitioned neutrosophic set (in short SVPN-set) environment.
Suman Das +3 more
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Computations in finite-dimensional Lie algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 This paper describes progress made in context with the construction of a general library of Lie algebra algorithms, called ELIAS (Eindhoven Lie Algebra System), within the computer algebra package GAP.
A. M. Cohen, W. A. Graaf, L. Rónyai
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A Left-Symmetric Structure on The Semi-Direct Sum Real Frobenius Lie Algebra of Dimension 8
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 Let be the Lie algebra of the semi-direct sum of the real vector space and the Lie algebra of the sets of all real matrices. In this paper, a Frobenius functional is constructed in order for the Lie algebra to be the real Frobenius Lie algebra of ...
Edi Kurniadi +2 more
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