Results 41 to 50 of about 1,685,782 (328)
Lie subalgebras of so(3,1) up to conjugacy [PDF]
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
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The Hopf Algebra of Fliess Operators and Its Dual Pre-lie Algebra [PDF]
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
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Algebra of derivations of Lie algebras
Junta de Andalucía FQM ...
Camacho Santana, Luisa María+2 more
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Braiding via geometric Lie algebra actions [PDF]
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
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Embedding of a Lie algebra into Lie-admissible algebras [PDF]
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^ - } .
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Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
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
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Post-Lie algebra structures and generalized derivations of semisimple Lie algebras [PDF]
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
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Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra [PDF]
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
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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.
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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
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