Results 31 to 40 of about 522,705 (279)

Post-Lie Algebra Structures on the Lie Algebra gl(2,C)

Abstract and Applied Analysis, 2013
The post-Lie algebra is an enriched structure of the Lie algebra. We give a complete classification of post-Lie algebra structures on the Lie algebra gl(2,C) up to isomorphism.
Yuqiu Sheng, Xiaomin Tang
doaj   +1 more source

LIE ALGEBRA PREDERIVATIONS AND STRONGLY NILPOTENT LIE ALGEBRAS [PDF]

Communications in Algebra, 2002
We study Lie algebra prederivations. A Lie algebra admitting a non-singular prederivation is nilpotent. We classify filiform Lie algebras admitting a non-singular prederivation but no non-singular derivation. We prove that any 4-step nilpotent Lie algebra admits a non-singular prederivation.
openaire   +3 more sources

New Applications of Graded Lie Algebras to Lie Algebras, Generalized Lie Algebras, and Cohomology

Journal of Lie Theory, 2007
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.
Pinczon, Georges, Ushirobira, Rosane
openaire   +4 more sources

Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]

, 2006
We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J, Kraft, Hanspeter, Kraft, H., Kuttler, J., Kuttler, Jochen, Kraft, H, Draisma, J., Draisma, J Jan, Draisma, Jan   +8 more
core   +1 more source

On derived Lie algebras [PDF]

Archiv der Mathematik
Abstract In this paper, we investigate the problem of which Lie algebras appear as the derived algebra of a Lie algebra. We present new results that further develop this study and address two questions raised in a paper concerned with the corresponding problem for groups.
Salvatore Siciliano, David A. Towers
openaire   +2 more sources

Nilpotent Lie algebras of derivations with the center of small corank

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi, L.Z. Mashchenko, A.P. Petravchuk   +2 more
doaj   +1 more source

Anyonic lie algebras [PDF]

Czechoslovak Journal of Physics, 1997
We introduce anyonic Lie algebras in terms of structure constants. We provide the simplest examples and formulate some open problems.
openaire   +3 more sources

On isoclinic extensions of Lie algebras and Nilpotent Lie algebras

Discussiones Mathematicae - General Algebra and Applications, 2021
In this paper, we present the concept of isoclinism of Lie algebras and its relationship to the Schur multiplier of Lie algebras. Moreover, we prove some properties of a pair of nilpotent Lie algebras.
Arabyani Homayoon, Sadeghifard Mohammad Javad   +1 more
openaire   +2 more sources

Struktur Simplektik pada Aljabar Lie Affine aff(2,R)

Jambura Journal of Mathematics
In this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie ...
Aurillya Queency, Edi Kurniadi, Firdaniza Firdaniza   +2 more
doaj   +1 more source

Leibniz Algebras and Lie Algebras [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2013
This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
Mason, G., Yamskulna, G.
openaire   +5 more sources