Results 51 to 60 of about 297,928 (181)
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
Lie algebra expansion and integrability in superstring Sigma-models
Journal of High Energy Physics, 2020 Lie algebra expansion is a technique to generate new Lie algebras from a given one. In this paper, we apply the method of Lie algebra expansion to superstring σ-models with a ℤ4 coset target space.
Andrea Fontanella, Luca Romano
doaj +1 more source
Quantum Lie algebras; their existence, uniqueness and $q$-antisymmetry
, 1996 Quantum Lie algebras are generalizations of Lie algebras which have the quantum parameter h built into their structure. They have been defined concretely as certain submodules of the quantized enveloping algebras. On them the quantum Lie bracket is given
Delius, Gustav W., Gould, Mark D.
core +2 more sources
An algorithm for analysis of the structure of finitely presented Lie algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 We consider the following problem: what is the most general Lie algebra satisfying a given set of Lie polynomial equations? The presentation of Lie algebras by a finite set of generators and defining relations is one of the most general mathematical ...
Vladimir P. Gerdt, Vladimir V. Kornyak
doaj +2 more sources
On properties of principal elements of Frobenius Lie algebras [PDF]
, 2014 We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left symmetric algebra structure can be embedded, in a natural way, as a ...
Diatta, Andre, Manga, Bakary
core
SIMPLE LIE ALGEBRAS WHICH GENERALIZE KPS`S LIE ALGEBRAS [PDF]
Communications of the Korean Mathematical Society, 2002 Summary: We generalize the Lie algebras of KPS's in [Commun. Algebra 22, No. 10, 3755--3774 (1994; Zbl 0813.17009)], which have no toral elements. However our generalized Lie algebras have toralelements. Moreover our Lie algebras are not isomorphic to the Witt algebra \(W(n)\) with a toral element.
Nam, Ki-Bong, Wang, Moon-Ok
openaire +2 more sources
Extensions of Lie algebras of differential operators
, 2020 The aim of this note is to introduce the notion of a $\operatorname{D}$-Lie algebra and to prove some elementary properties of $\operatorname{D}$-Lie algebras, the category of $\operatorname{D}$-Lie algebras, the category of modules on a $\operatorname{D}
Maakestad, Helge Øystein
core
Integration of semidirect product Lie 2-algebras
, 2012 The semidirect product of a Lie algebra and a 2-term representation up to homotopy is a Lie 2-algebra. Such Lie 2-algebras include many examples arising from the Courant algebroid appearing in generalized complex geometry.
Sheng, Yunhe, Zhu, Chenchang
core +1 more source
An atavistic Lie algebra [PDF]
Physics Letters B, 2006 An infinite-dimensional Lie Algebra is proposed which includes, in its subalgebras and limits, most Lie Algebras routinely utilized in physics. It relies on the finite oscillator Lie group, and appears applicable to twisted noncommutative QFT and CFT.
Fairlie, D. B., Zachos, C. K.
openaire +4 more sources