Results 11 to 20 of about 297,928 (181)

Lie algebra computations [PDF]

Acta Applicandae Mathematicae, 1989
In the context of prolongation theory, introduced by Wahlquist and Estabrook, computations of a lot of Jacobi identities in (infinite-dimensional) Lie algebras are necessary. These computations can be done (automatically) using ‘symbolic computations’. A
FB Estabroook, HD Wahlquist, HN Eck van, PKH Gragert   +3 more
core   +3 more sources

Post-Lie algebra structures for perfect Lie algebras. [PDF]

Commun Algebra
We study the existence of post-Lie algebra structures on pairs of Lie algebras $(\mathfrak{g},\mathfrak{n})$, where one of the algebras is perfect non-semisimple, and the other one is abelian, nilpotent non-abelian, solvable non-nilpotent, simple, semisimple non-simple, reductive non-semisimple or complete non-perfect.
Burde D, Dekimpe K, Monadjem M.
europepmc   +7 more sources

Formalising lie algebras [PDF]

Proceedings of the 11th ACM SIGPLAN International Conference on Certified Programs and Proofs, 2022
12 pages, 1 figure, to appear in CPP ...
openaire   +2 more sources

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, Chen, Chenchang Zhu, Henriques, Kinyon, Lada, Liu, Liu, Petalidou, Roytenberg, Roytenberg, Uchino, Weinstein, Yunhe Sheng, Zhangju Liu   +14 more
core   +1 more source

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

Elementary Lie algebras and Lie A-algebras

Journal of Algebra, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Towers, David A., Varea, Vicente R.
openaire   +3 more sources

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

Anyonic lie algebras [PDF]

Czechoslovak Journal of Physics, 1997
We introduce anyonic Lie algebras in terms of structure constants. We provide the simplest examples and formulate some open problems.
openaire   +3 more sources

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