Results 31 to 40 of about 519,562 (333)

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

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, Gerard Thompson, Narayana Bandara   +2 more
doaj   +1 more source

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

Affine actions on Lie groups and post-Lie algebra structures [PDF]

, 2011
We introduce post-Lie algebra structures on pairs of Lie algebras $(\Lg,\Ln)$ defined on a fixed vector space $V$. Special cases are LR-structures and pre-Lie algebra structures on Lie algebras. We show that post-Lie algebra structures naturally arise in
Burde, Dietrich, Dekimpe, Karel, Vercammen, Kim   +2 more
core   +2 more sources

The Lie algebra of a Lie algebroid [PDF]

Banach Center Publications, 2001
8 ...
Janusz Grabowski, Katarzyna Grabowska
openaire   +3 more sources

Further Results on Elementary Lie Algebras and Lie A-Algebras [PDF]

Communications in Algebra, 2013
A finite-dimensional Lie algebra $L$ over a field $F$ of characteristic zero is called elementary if each of its subalgebras has trivial Frattini ideal; it is an $A$-algebra if every nilpotent subalgebra is abelian. This paper is a continuation of the study of these algebras initiated by the authors in `Elementary Lie Algebras and Lie A-algebras', J ...
Towers, David A., Varea, Vicente R.
openaire   +4 more sources

Batalin-Vilkovisky formality for Chern-Simons theory

Journal of High Energy Physics, 2021
We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory, we show that the variational complex in the Batalin-Vilkovisky formalism ...
Ezra Getzler
doaj   +1 more source

Enriched Lie algebras in topology, I [PDF]

arXiv, 2021
The complete enriched Lie algebras constitue the natural extension of graded Lie algebras for connected spaces. Each complete enriched Lie algebra is the rational homotopy Lie algebra of a connected space.
arxiv  

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

Proceedings 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   +1 more source

Nilpotent Lie algebras of derivations with the center of small corank

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi, L.Z. Mashchenko, A.P. Petravchuk   +2 more
doaj   +1 more source