Results 21 to 30 of about 1,685,782 (328)

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 [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 ...
Viktor Abramov, Priit Lätt
doaj   +1 more source

Lie algebra expansions and actions for non-relativistic gravity [PDF]

open access: yesJournal of High Energy Physics, 2019
We show that the general method of Lie algebra expansions can be applied to re-construct several algebras and related actions for non-relativistic gravity that have occurred in the recent literature.
E. Bergshoeff   +3 more
semanticscholar   +1 more source

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

On the Lie enveloping algebra of a pre-Lie algebra [PDF]

open access: yesJournal 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 ...
Jean-Michel Oudom, Daniel Guin
openaire   +5 more sources

A new kind of soft algebraic structures: bipolar soft Lie algebras

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In this paper, basic concepts of soft set theory was mentioned. Then, bipolar soft Lie algebras and bipolar soft Lie ideals were defined with the help of soft sets. Some algebraic properties of the new concepts were investigated. The relationship between
F. Çıtak
doaj   +1 more source

Profinite just infinite residually solvable Lie algebras [PDF]

open access: yesInternational Journal of Group Theory, 2023
We provide some characterization theorems about just infinite profinite residually solvable Lie algebras, similarly to what C. Reid has done for just infinite profinite groups.
Dario Villanis Ziani
doaj   +1 more source

Post-Lie algebra structures for nilpotent Lie algebras [PDF]

open access: yesInternational journal of algebra and computation, 2018
We study post-Lie algebra structures on [Formula: see text] for nilpotent Lie algebras. First, we show that if [Formula: see text] is nilpotent such that [Formula: see text], then also [Formula: see text] must be nilpotent, of bounded class. For post-Lie
D. Burde, C. Ender, W. Moens
semanticscholar   +1 more source

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