Results 1 to 10 of about 1,705,638 (353)
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.
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Rota-Baxter operators and post-Lie algebra structures on semisimple Lie algebras. [PDF]
Commun Algebra, 2019 Rota–Baxter operators R of weight 1 on are in bijective correspondence to post-Lie algebra structures on pairs , where is complete. We use such Rota–Baxter operators to study the existence and classification of post-Lie algebra structures on pairs of Lie
Burde D, Gubarev V.
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A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits. [PDF]
Nat Commun, 2023 Variational quantum computing schemes train a loss function by sending an initial state through a parametrized quantum circuit, and measuring the expectation value of some operator.
Ragone M +6 more
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Derivations of Lie algebras [PDF]
Hiroshima Mathematical Journal, 1966 The author continues to study relations between the structure of a Lie algebra and that of its derivation algebra. He generalizes results of \textit{J. Dozias} [C. R. Acad. Sci., Paris 259, 2748--2750 (1964; Zbl 0122.04004)], \textit{T. Satô} [Tôhoku Math. J., II. Ser. 17, 244--249 (1965; Zbl 0131.03201)] and the reviewer [Duke Math. J.
Shigeaki Tôgô
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On algebraic Lie groups and algebras. [PDF]
Journal of the Mathematical Society of Japan, 1948 YOZÔ MATSUSHIMA
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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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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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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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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. de Graaf, L. Rónyai
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3-Derivations and 3-Automorphisms on Lie Algebras
Mathematics, 2022 In this paper, first we establish the explicit relation between 3-derivations and 3- automorphisms of a Lie algebra using the differential and exponential map.
Haobo Xia
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