Results 21 to 30 of about 1,969,963 (254)
Forum 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
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Geometrical aspects of the Lie algebra S-expansion procedure [PDF]
, 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
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Advances in Mathematics, 1984 AbstractThis paper defines a remarkable Lie algebra of infinite dimension and rank, and conjectures that it may be related to the Fischer-Griess Monster group.
L. Queen +3 more
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Elementary Lie algebras and Lie A-algebras
Journal 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.
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Color Lie algebras and Lie algebras of order F [PDF]
Journal 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
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Omni-Lie 2-algebras and their Dirac structures [PDF]
, 2011 We introduce the notion of omni-Lie 2-algebra, which is a categorification of Weinstein's omni-Lie algebras. We prove that there is a one-to-one correspondence between strict Lie 2-algebra structures on 2-sub-vector spaces of a 2-vector space $\V$ and ...
Baez +14 more
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Post-Lie algebras in Regularity Structures
Forum 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
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Generalized Reynolds Operators on Lie-Yamaguti Algebras
Axioms, 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
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Algebra of derivations of Lie algebras
Linear Algebra and its Applications, 2001 Junta de Andalucía FQM ...
Camacho Santana, Luisa María +2 more
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The Hopf Algebra of Fliess Operators and Its Dual Pre-lie Algebra [PDF]
, 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
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