Results 51 to 60 of about 2,410,088 (276)

BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras [PDF]

, 2015
A BiHom-associative algebra is a (nonassociative) algebra A endowed with two commuting multiplicative linear maps α,β : A → A such that α(a)(bc) = (ab)β(c), for all a,b,c ∈ A. This concept arose in the study of algebras in so-called group Hom-categories.
G. Graziani, A. Makhlouf, C. Menini, F. Panaite   +3 more
semanticscholar   +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

Interest Rate Based on The Lie Group SO(3) in the Evidence of Chaos

Mathematics, 2022
This paper aims to test the structure of interest rates during the period from 1 September 1981 to 28 December 2020 by using Lie algebras and groups. The selected period experienced substantial events impacting interest rates, such as the economic crisis,
Melike Bildirici, Yasemen Ucan, Sérgio Lousada   +2 more
doaj   +1 more source

Local derivations on finite-dimensional Lie algebras [PDF]

, 2015
We prove that every local derivation on a finite-dimensional semisimple Lie algebra over an algebraically closed field of characteristic zero is a derivation.
Sh. A. Ayupov, K. Kudaybergenov
semanticscholar   +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

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

Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5

Jambura Journal of Mathematics
In this research, we studied quasi-Frobenius Lie algebras and filiform Lie algebras of dimensions ≤ 5 over real field. The primary objective of this research is to classify the classification of filiform Lie algebras of dimensions ≤ 5 into quasi ...
Putri Nisa Pratiwi, Edi Kurniadi, Firdaniza Firdaniza   +2 more
doaj   +1 more source

Realization of locally extended affine Lie algebras of type $A_1$ [PDF]

Categories and General Algebraic Structures with Applications, 2016
Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras.
Gholamreza Behboodi
doaj  

Isomorphisms and Derivations in Lie C*-Algebras

Abstract and Applied Analysis, 2007
We investigate isomorphisms between C*-algebras, Lie C*-algebras, and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras, and JC*-algebras associated with the Cauchy–Jensen functional equation 2f((x+y/2)+z)=f(x)+f(y)+2f(z).
Choonkil Park, Jong Su An, Jianlian Cui
doaj   +1 more source

Commutative post-Lie algebra structures on Lie algebras [PDF]

, 2015
We show that any CPA-structure (commutative post-Lie algebra structure) on a perfect Lie algebra is trivial. Furthermore we give a general decomposition of inner CPA-structures, and classify all CPA-structures on parabolic subalgebras of simple Lie ...
D. Burde, W. Moens
semanticscholar   +1 more source