Results 21 to 30 of about 1,737,526 (356)
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
doaj +1 more source
Differential algebraic Lie algebras [PDF]
Transactions of the American Mathematical Society, 1979 A class of infinite-dimensional Lie algebras over the field K \mathcal {K} of constants of a universal differential field U \mathcal {U} is studied. The simplest case, defined by homogeneous linear differential equations, is analyzed in detail, and those with underlying set
openaire +1 more source
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
doaj +1 more source
COASSOCIATIVE LIE ALGEBRAS [PDF]
Glasgow Mathematical Journal, 2013 AbstractA coassociative Lie algebra is a Lie algebra equipped with a coassociative coalgebra structure satisfying a compatibility condition. The enveloping algebra of a coassociative Lie algebra can be viewed as a coalgebraic deformation of the usual universal enveloping algebra of a Lie algebra.
Wang, Ding-Guo +2 more
openaire +3 more sources
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
semanticscholar +1 more source
LIE ALGEBRA PREDERIVATIONS AND STRONGLY NILPOTENT LIE ALGEBRAS [PDF]
Communications in Algebra, 2002 We study Lie algebra prederivations. A Lie algebra admitting a non-singular prederivation is nilpotent. We classify filiform Lie algebras admitting a non-singular prederivation but no non-singular derivation. We prove that any 4-step nilpotent Lie algebra admits a non-singular prederivation.
openaire +3 more sources
Lie subalgebras of so(3,1) up to conjugacy [PDF]
Arab 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
Journal of the London Mathematical Society, 1973 Let \(L\) be a finite dimensional Lie algebra over a field. The Frattini subalgebra, \(F(L)\), of \(L\) is the intersection of the maximal subalgebras of \(L\); the Frattini ideal, \(\varphi(L)\), of \(L\) is then the largest ideal of \(L\) contained in \(F(L)\).
openaire +2 more sources
Post-Lie Algebra Structures on the Lie Algebra gl(2,C)
Abstract 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
Journal of Algebra, 2001 The authors consider associative algebras with involution. Denote by \(*\) the fixed involution of an associative algebra \(A\) over an algebraically closed field \(\mathbb{F}\) of characteristic zero and denote by \({\mathfrak u}^*(A)\) the vector space of skew-symmetric elements of \(A\) (i.e. \({\mathfrak u}^*(A)=\{a\in A\mid a^*=-a\}\)).
Baranov, AA, Zalesskii, AE
openaire +2 more sources