Results 41 to 50 of about 1,685,782 (328)

Lie subalgebras of so(3,1) up to conjugacy [PDF]

open access: yesArab Journal of Mathematical Sciences, 2022
Purpose – This study aims to find all subalgebras up to conjugacy in the real simple Lie algebra so(3,1). Design/methodology/approach – The authors use Lie Algebra techniques to find all inequivalent subalgebras of so(3,1) in all dimensions.
Ryad Ghanam   +2 more
doaj   +1 more source

The Hopf Algebra of Fliess Operators and Its Dual Pre-lie Algebra [PDF]

open access: yes, 2013
We study the Hopf algebra H of Fliess operators coming from Control Theory in the one-dimensional case. We prove that it admits a graded, finite-dimensional, connected grading. Dually, the vector space ℝ ⟨ x 0, x 1 ⟩ is both a pre-Lie algebra for the pre-
L. Foissy
semanticscholar   +1 more source

Algebra of derivations of Lie algebras

open access: yesLinear Algebra and its Applications, 2001
Junta de Andalucía FQM ...
Camacho Santana, Luisa María   +2 more
openaire   +3 more sources

Braiding via geometric Lie algebra actions [PDF]

open access: yesCompositio Mathematica, 2010
We introduce the idea of a geometric categorical Lie algebra action on derived categories of coherent sheaves. The main result is that such an action induces an action of the braid group associated to the Lie algebra.
Sabin Cautis, J. Kamnitzer
semanticscholar   +1 more source

Embedding of a Lie algebra into Lie-admissible algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 1979
Let A be a flexible Lie-admissible algebra over a field of characteristic ≠ \ne 2, 3. Let S be a finite-dimensional classical Lie subalgebra of A − {A^ - } which is complemented by an ideal R of A − {A^ - } .
openaire   +2 more sources

Post-Lie Algebra Structures on the Lie Algebra gl(2,C)

open access: yesAbstract and Applied Analysis, 2013
The post-Lie algebra is an enriched structure of the Lie algebra. We give a complete classification of post-Lie algebra structures on the Lie algebra gl(2,C) up to isomorphism.
Yuqiu Sheng, Xiaomin Tang
doaj   +1 more source

Post-Lie algebra structures and generalized derivations of semisimple Lie algebras [PDF]

open access: yes, 2011
We study post-Lie algebra structures on pairs of Lie algebras (g,n), and prove existence results for the case that one of the Lie algebras is semisimple.
D. Burde, K. Dekimpe
semanticscholar   +1 more source

Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra [PDF]

open access: yes, 2011
We determine the abelianizations of the following three kinds of graded Lie algebras in certain stable ranges: derivations of the free associative algebra, derivations of the free Lie algebra and symplectic derivations of the free associative algebra. In
S. Morita   +2 more
semanticscholar   +1 more source

Lie algebra fermions [PDF]

open access: yesJournal 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

On the Torelli Lie algebra

open access: yesForum of Mathematics, Pi, 2023
Abstract We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus g: Stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial $\mathrm {Sp}_{2g}(\mathbb {Z})$ -representations lying in the centre.
Kupers, A, Randal-Williams, O
openaire   +3 more sources

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