Results 21 to 30 of about 2,410,088 (276)
Computing the index of Lie algebras; pp. 265–271 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 The aim of this paper is to compute and discuss the index of Lie algebras. We consider the n-dimensional Lie algebras for n lt; 5 and the case of filiform Lie algebras which form a special class of nilpotent Lie algebras.
Hadjer Adimi, Abdenacer Makhlouf
doaj +1 more source
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
From tunnels to towers: Quantum scars from Lie algebras and q -deformed Lie algebras [PDF]
Physical Review Research, 2020 We present a general symmetry-based framework for obtaining many-body Hamiltonians with scarred eigenstates that do not obey the eigenstate thermalization hypothesis.
N. O'Dea +3 more
semanticscholar +1 more source
Integration and geometrization of Rota-Baxter Lie algebras [PDF]
, 2020 This paper first introduces the notion of a Rota-Baxter operator (of weight $1$) on a Lie group so that its differentiation gives a Rota-Baxter operator on the corresponding Lie algebra.
Li Guo, H. Lang, Yunhe Sheng
semanticscholar +1 more source
On the Lie enveloping algebra of a pre-Lie algebra [PDF]
Journal of K-Theory, 2008 AbstractWe construct an associative product on the symmetric module S(L) of any pre-Lie algebra L. It turns S(L) into a Hopf algebra which is isomorphic to the enveloping algebra of LLie. Then we prove that in the case of rooted trees our construction gives the Grossman-Larson Hopf algebra, which is known to be the dual of the Connes-Kreimer Hopf ...
Oudom, Jean-Michel, Guin, Daniel
openaire +5 more sources
Locally conformally balanced metrics on almost abelian Lie algebras
Complex Manifolds, 2021 We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
doaj +1 more source
Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
core +3 more sources
LieART 2.0 - A Mathematica application for Lie Algebras and Representation Theory [PDF]
Computer Physics Communications, 2019 We present LieART 2.0 which contains substantial extensions to the Mathematica application LieART (Lie Algebras and Representation Theory) for computations frequently encountered in Lie algebras and representation theory, such as tensor product ...
R. Feger +2 more
semanticscholar +1 more source
Profinite just infinite residually solvable Lie algebras [PDF]
International Journal of Group Theory, 2023 We provide some characterization theorems about just infinite profinite residually solvable Lie algebras, similarly to what C. Reid has done for just infinite profinite groups.
Dario Villanis Ziani
doaj +1 more source
C-Ideals of Lie Algebras. [PDF]
, 2009 A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of L contained in B.
Towers, David A.
core +4 more sources