Results 31 to 40 of about 1,685,782 (328)

A Monster Lie Algebra? [PDF]

open access: yesAdvances 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 \(L\).
L. Queen   +3 more
openaire   +1 more source

Almost algebraic Lie algebras

open access: bronzeJournal of Algebra, 1968
L. Auslander, Jonathan Brezin
openalex   +3 more sources

Colour-kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms [PDF]

open access: yes, 2016
A bstractColour-kinematics duality suggests that Yang-Mills (YM) theory possesses some hidden Lie algebraic structure. So far this structure has resisted understanding, apart from some progress in the self-dual sector.
Chih-Hao Fu, K. Krasnov
semanticscholar   +1 more source

An atavistic Lie algebra [PDF]

open access: yesPhysics 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

Levi Decomposition of Frobenius Lie Algebra of Dimension 6

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2022
In this paper, we study notion of the Lie algebra  of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
doaj   +1 more source

Geometrical aspects of the Lie algebra S-expansion procedure [PDF]

open access: yes, 2016
In this article it is shown that S-expansion procedure affects the geometry of a Lie group, changing it and leading us to the geometry of another Lie group with higher dimensionality.
M. Artebani   +4 more
semanticscholar   +1 more source

Elementary Lie algebras and Lie A-algebras

open access: yesJournal of Algebra, 2007
AbstractA finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of elementary Lie algebras.
Towers, David A., Varea, Vicente R.
openaire   +3 more sources

Post-Lie algebras in Regularity Structures

open access: yesForum of Mathematics, Sigma, 2023
In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra.
Yvain Bruned, Foivos Katsetsiadis
doaj   +1 more source

Color Lie algebras and Lie algebras of order F [PDF]

open access: yesJournal of Generalized Lie Theory and Applications, 2009
The notion of color algebras is generalized to the class of F-ary algebras, and corresponding decoloration theorems are established. This is used to give a construction of colored structures by means of tensor products with Clifford-like algebras. It is moreover shown that color algebras admit realisations as q=0 quon algebras.
CAMPOAMOR-STURSBERG, R.   +1 more
openaire   +5 more sources

Generalized Reynolds Operators on Lie-Yamaguti Algebras

open access: yesAxioms, 2023
In this paper, the notion of generalized Reynolds operators on Lie-Yamaguti algebras is introduced, and the cohomology of a generalized Reynolds operator is established.
Wen Teng, Jiulin Jin, Fengshan Long
doaj   +1 more source

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