Results 31 to 40 of about 299,212 (282)

Finitary Lie algebras

Journal of Algebra, 2002
A Lie algebra is called finitary if it consists of finite-rank linear transformations of a vector space. The authors classify all infinite-dimensional finitary simple Lie algebras over an algebraically closed field of characteristic not 2 or 3. They also do the same for finitary irreducible Lie algebras.
Baranov, A.A., Strade, H.
openaire   +2 more sources

Fractional Supersymmetry and Infinite Dimensional Lie Algebras [PDF]

, 2001
In an earlier work extensions of supersymmetry and super Lie algebras were constructed consistently starting from any representation $\D$ of any Lie algebra $\g$.
Ahn, Akulov, Colatto, Coleman, de Azcárraga, Debergh, Durand, Durand, Fleury, Haag, Jackiw, Kac, Kac, Kerner, Kerner, M. Rausch de Traubenberg, Matheus-Valle, Matheus-Valle, Mohammedi, Perez, Plyushchay, Rausch de Traubenberg, Rausch de Traubenberg, Rausch de Traubenberg, Rausch de Traubenberg, Saidi, Saidi, Volkov, Volkov, Wills Toro   +29 more
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Characterizations of Lie n-Centralizers on Certain Trivial Extension Algebras

Journal of Mathematics, 2023
In this paper, we describe the structure of Lie n-centralizers of a trivial extension algebra. We then present some conditions under which a Lie n-centralizer on a trivial extension algebra is proper.
Xiaokui Li, He Yuan, Qian Zhang
doaj   +1 more source

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

Batalin-Vilkovisky formality for Chern-Simons theory

Journal of High Energy Physics, 2021
We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism ...
Ezra Getzler
doaj   +1 more source

THE NON-DEGENERACY OF THE SKEW-SYMMETRIC BILINEAR FORM OF THE FINITE DIMENSIONAL REAL FROBENIUS LIE ALGEBRA

Barekeng, 2022
A Frobenius Lie algebra is recognized as the Lie algebra whose stabilizer at a Frobenius functional is trivial. This condition is equivalent to the existence of a skew-symmetric bilinear form which is non-degenerate.
Edi Kurniadi
doaj   +1 more source

Novikov structures on solvable Lie algebras [PDF]

, 2005
We study Novikov algebras and Novikov structures on finite-dimensional Lie algebras. We show that a Lie algebra admitting a Novikov structure must be solvable.
Bakalov, Balinskii, Benoist, Burde, Burde, Dekimpe, Dietrich Burde, Dijkgraaf, Frenkel, Gel’fand, Karel Dekimpe, Scheuneman, Segal, Semenov-Tian-Shansky, Zelmanov   +14 more
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On Properties of Five-dimensional Nonstandard Filiform Lie algebra

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023
In this paper, we study the five-dimensional nonstandard Filiform Lie algebra and their basis elements representations. The aim of this research is to determine the basis elements of five-dimensional nonstandard Filiform Lie algebras representation in ...
Ricardo Eka Putra, Edi Kurniadi, Ema Carnia   +2 more
doaj   +1 more source

A note on the restricted universal enveloping algebra of a restricted Lie-Rinehart Algebra

, 2015
Lie-Rinehart algebras, also known as Lie algebroids, give rise to Hopf algebroids by a universal enveloping algebra construction, much as the universal enveloping algebra of an ordinary Lie algebra gives a Hopf algebra, of infinite dimension.
Schauenburg, Peter
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Lie algebra fermions [PDF]

Journal of Physics A: Mathematical and Theoretical, 2020
We define a supersymmetric quantum mechanics of fermions that take values in a simple Lie algebra. We summarize what is known about the spectrum and eigenspaces of the Laplacian which corresponds to the Koszul differential d. Firstly, we concentrate on the zero eigenvalue eigenspace which coincides with the Lie algebra cohomology.
openaire   +4 more sources