Results 11 to 20 of about 26,022 (315)
Post-Lie algebra structures for perfect Lie algebras. [PDF]
Commun AlgebraWe study the existence of post-Lie algebra structures on pairs of Lie algebras $(\mathfrak{g},\mathfrak{n})$, 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, reductive non-semisimple or complete non-perfect.
Burde D, Dekimpe K, Monadjem M.
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New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology [PDF]
, 2005 We give new applications of graded Lie algebras to: identities of standard polynomials, deformation theory of quadratic Lie algebras, cyclic cohomology of quadratic Lie algebras, $2k$-Lie algebras, generalized Poisson brackets and so on.
Rosane Ushirobira
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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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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; 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 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, J.-M., Guin, D.
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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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