Results 1 to 10 of about 1,262 (118)
On the Lie Enveloping Algebra of a Pre-Lie Algebra [PDF]
Journal of K-Theory, 2008 AbstractWe construct an associative product on the symmetric module S(L) of any pre-Lie algebra L. It turns S(L) into a Hopf algebra which is isomorphic to the enveloping algebra of LLie. Then we prove that in the case of rooted trees our construction gives the Grossman-Larson Hopf algebra, which is known to be the dual of the Connes-Kreimer Hopf ...
Oudom, Jean-Michel, Guin, Daniel
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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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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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Elementary Lie algebras and Lie A-algebras [PDF]
Journal of Algebra, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Towers, David A., Varea, Vicente R.
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Formalising lie algebras [PDF]
Proceedings of the 11th ACM SIGPLAN International Conference on Certified Programs and Proofs, 2022 12 pages, 1 figure, to appear in CPP ...
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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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Generalized geometric Lie algebra and its research
上海师范大学学报. 自然科学版, 2023 In order to explore the general extension meanings of Lie algebra， the generalized geometric Lie bracket and generalized geometric Lie algebra are constructed and their related properties are studied， containing Lie algebra as a special case.
WANG Gen, LIANG Yuxia
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Induced 3-Lie algebras, superalgebras and induced representations; pp. 116–133 [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 ...
Priit Lätt, Viktor Abramov
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On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika), 2020 In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension .
Edi Kurniadi
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