Results 41 to 50 of about 26,022 (315)

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

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

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

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

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
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Deformations of the three-dimensional Lie algebra sl(2)

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva, Sh.Sh. Ibraev, B.E. Turbayev   +2 more
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A Monster Lie Algebra?

Advances in Mathematics, 1984
In 1979, \textit{J. H. Conway} and \textit{S. P. Norton} [Bull. Lond. Math. Soc. 11, 308--339 (1979; Zbl 0424.20010)] conjectured that the existence of the Fischer-Griess ''monster'' or ''friendly giant'' finite simple group \(M\) might be explained by some infinite-dimensional Lie algebra \(L\).
Borcherds, R.E, Conway, J.H, Queen, L, Sloane, N.J.A   +3 more
openaire   +1 more source

Algebraic loop structures on algebra comultiplications

Open Mathematics, 2019
In this paper, we study the algebraic loop structures on the set of Lie algebra comultiplications. More specifically, we investigate the fundamental concepts of algebraic loop structures and the set of Lie algebra comultiplications which have inversive ...
Lee Dae-Woong
doaj   +1 more source

Lie algebra of an n-Lie algebra

, 2013
We construct the Lie algebra of an n-Lie algebra and we also define the notion of cohomology of an n-Lie algebra.
Bossoto, Basile Guy Richard, Okassa, Eugène, Omporo, Mathias   +2 more
openaire   +2 more sources

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source