Results 1 to 10 of about 1,984,666 (365)
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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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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Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum
Jambura Journal of Mathematics, 2023 The Heisenberg Lie Group is the most frequently used model for studying the representation theory of Lie groups. This Lie group is modular-noncompact and its Lie algebra is nilpotent.
Edi Kurniadi +2 more
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Induced 3-Lie algebras, superalgebras and induced representations [PDF]
Proceedings of the Estonian Academy of Sciences, 2020 We construct 3-Lie superalgebras on a commutative superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Lie algebras and superalgebras by means of a representation of initial (binary) Lie algebra ...
Viktor Abramov, Priit Lätt
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