Results 1 to 10 of about 299,094 (164)

Isomorphism of Intransitive Linear Lie Equations [PDF]

open access: yesSymmetry, 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
doaj   +6 more sources

Post-Lie algebra structures for perfect Lie algebras. [PDF]

open access: yesCommun Algebra
We 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.
europepmc   +7 more sources

Lie-Algebra of Single-Valued Pentapartitioned Neutrosophic Set [PDF]

open access: yesNeutrosophic 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
doaj   +1 more source

A Left-Symmetric Structure on The Semi-Direct Sum Real Frobenius Lie Algebra of Dimension 8

open access: yesCauchy: 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
doaj   +1 more source

Computations in finite-dimensional Lie algebras [PDF]

open access: yesDiscrete 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
doaj   +2 more sources

3-Derivations and 3-Automorphisms on Lie Algebras

open access: yesMathematics, 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
doaj   +1 more source

Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum

open access: yesJambura 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
doaj   +1 more source

Induced 3-Lie algebras, superalgebras and induced representations; pp. 116–133 [PDF]

open access: yesProceedings 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
doaj   +1 more source

Formalising lie algebras [PDF]

open access: yesProceedings of the 11th ACM SIGPLAN International Conference on Certified Programs and Proofs, 2022
12 pages, 1 figure, to appear in CPP ...
openaire   +2 more sources

On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra

open access: yesJTAM (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
doaj   +1 more source

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