A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras

F Alshammari, PS Isaac… - Journal of Physics A …, 2018 - iopscience.iop.org
We introduce a search algorithm that utilises differential operator realisations to find
polynomial Casimir operators of Lie algebras. To demonstrate the algorithm, we look at two …

[PDF][PDF] Degenerations of 8-dimensional 2-step nilpotent Lie algebras

MA Alvarez - arxiv preprint arxiv:1909.04449, 2019 - arxiv.org
arxiv:1909.04449v1 [math.RA] 10 Sep 2019 Page 1 arxiv:1909.04449v1 [math.RA] 10 Sep
2019 DEGENERATIONS OF 8-DIMENSIONAL 2-STEP NILPOTENT LIE ALGEBRAS MARÍA …

[PDF][PDF] The trascendence of Kac-Moody algebras

D Fernández-Ternero, J Núnez-Valdés - Filomat, 2021 - pmf.ni.ac.rs
With the main objective that it can be consulted by all researchers, mainly young people,
interested in the study of the Kac-Moody algebras and their applications, this paper aims to …

Algorithm to compute abelian subalgebras and ideals in Malcev algebras

M Ceballos, J Núñez, ÁF Tenorio - Mathematical Methods in …, 2016 - Wiley Online Library
In this paper, we introduce an algorithmic procedure that computes abelian subalgebras and
ideals of a given finite‐dimensional Malcev algebra. All the computations are performed by …

Filiform Lie algebras with low derived length

FJ Castro-Jiménez, M Ceballos… - Mediterranean Journal of …, 2020 - Springer
Filiform Lie Algebras with Low Derived Length | Mediterranean Journal of Mathematics Skip
to main content Springer Nature Link Account Menu Find a journal Publish with us Track your …

[SITAT][C] On Properties of Five-dimensional Nonstandard Filiform Lie algebra

RE Putra, E Kurniadi, E Carnia - CAUCHY: Jurnal Matematika Murni dan Aplikasi, 2023